Question 1
For the production function q = 4K1/2 + 4L
Both MPL and MPK are constant
MPK is decreasing but MPL is constant
MPL is decreasing and MPK is constant
Both MPL and MPK are decreasing

The IIT Madras BS Managerial Economics (Managerial Economics) Quiz 1 paper sat on 15 Mar 2026, in the January 2026 term: 24 questions for 25 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
For the production function q = 4K1/2 + 4L
Both MPL and MPK are constant
MPK is decreasing but MPL is constant
MPL is decreasing and MPK is constant
Both MPL and MPK are decreasing
Correct answer
MPK is decreasing but MPL is constant
A firm can always trade three units of labour for one unit of capital and still keep output constant. The production technology for this firm can most suitably represented by
Cobb-Douglas production function
Leontief production function
Linear production function
None of these
Correct answer
Linear production function
A firm finds that it requires exactly two full-time workers to operate each piece of machinery in the factory. The production technology for this firm can most suitably represented by
Cobb-Douglas production function
Leontief production function
Linear production function
None of these
Correct answer
Leontief production function
The marginal product of capital is defined as
a firm’s total output divided by total labour input
the extra output produced by employing one more unit of labour while allowing other inputs to vary
the extra output produced by employing one more unit of labour while holding other inputs constant
the extra output produced by employing one more unit of capital while holding other input constant
Correct answer
the extra output produced by employing one more unit of capital while holding other input constant
If marginal costs equal average total costs
average total costs are falling
average total costs are maximized
average total costs are rising
average total costs are minimized
Correct answer
average total costs are minimized
When average product is decreasing in labor, marginal product is greater than average product.
True
False
Correct answer
False
When average product is increasing in labor, marginal product is less than average product.
True
False
Correct answer
False
When average product APL is at a maximum, then marginal product is equal to average product
True
False
Correct answer
True
5, 20
20, 5
20, 10
10, 20
Correct answer
20, 5
A chair manufacturer hires its assembly-line labour for $15 an hour and calculates that the rental cost of its machinery is $30 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination.
Based on the above data, answer the given subquestions.
If the firm is currently using 3 hours of machine time for each hour of labour time, is it minimizing its costs of production? _____________
Yes
No
Correct answer
No
A chair manufacturer hires its assembly-line labour for $15 an hour and calculates that the rental cost of its machinery is $30 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination.
Based on the above data, answer the given subquestions.
If not, what will be the optimal combination of labour and capital.
L* = ________
Correct answer: 4
A chair manufacturer hires its assembly-line labour for $15 an hour and calculates that the rental cost of its machinery is $30 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination.
Based on the above data, answer the given subquestions.
If not, what will be the optimal combination of labour and capital.
K* = __________
Correct answer: 0
Consider two goods, coconut and fish with prices Pc = 20 and Pf = 10. Robin has an income I= 1000 and he consumes only these two goods. With the help of the plot of his budget line taking fish on the Y-axis.
Based on the above data, answer the given subquestions.
The slope of the budget line is
-2
+2
-1/2
+1/2
Correct answer
-2
Consider two goods, coconut and fish with prices Pc = 20 and Pf = 10. Robin has an income I= 1000 and he consumes only these two goods. With the help of the plot of his budget line taking fish on the Y-axis.
Based on the above data, answer the given subquestions.
Intercepts on the axis are
50 on X-axis and 100 on Y-axis
100 on X-axis and 50 on Y-axis
50 on X-axis and 20 on Y-axis
20 on X-axis and 50 on Y-axis
Correct answer
50 on X-axis and 100 on Y-axis
Consider two goods, coconut and fish with prices Pc = 20 and Pf = 10. Robin has an income I= 1000 and he consumes only these two goods. With the help of the plot of his budget line taking fish on the Y-axis.
Based on the above data, answer the given subquestions.
If keeping income unchanged, price of the coconut is halved, what will be the new slope of the budget line
-2
+1
-1
+2
Correct answer
-1
Consider two goods, coconut and fish with prices Pc = 20 and Pf = 10. Robin has an income I= 1000 and he consumes only these two goods. With the help of the plot of his budget line taking fish on the Y-axis.
Based on the above data, answer the given subquestions.
New intercepts on the axis are
50 on X-axis and 50 on Y-axis
100 on X-axis and 50 on Y-axis
100 on X-axis and 100 on Y-axis
10 on X-axis and 100 on Y-axis
Correct answer
100 on X-axis and 100 on Y-axis
Consider two goods, coconut and fish with prices Pc = 20 and Pf = 10. Robin has an income I= 1000 and he consumes only these two goods. With the help of the plot of his budget line taking fish on the Y-axis.
Based on the above data, answer the given subquestions.
If income is halved keeping the original prices unchanged
Slope remains same and both intercepts are doubled
Slope remains same and both intercepts are halved
Slope changes and both intercepts are doubled
Slope changes and both intercepts remain same
Correct answer
Slope remains same and both intercepts are halved
The marginal product of labour in the production of chips is 50 kg chips per hour. The marginal rate of technical substitution of hours of labour for hours of machine capital is 1/4.
What is the marginal product of capital in kg per hour? (only write the no.) __________
Correct answer: 200
The short-run cost function of a company is given by the equation TC = 200 + 55q, where TC is the total cost and q is the total quantity of output.
Based on the above data, answer the given subquestions.
What is the company’s fixed cost? ________
Correct answer: 200
The short-run cost function of a company is given by the equation TC = 200 + 55q, where TC is the total cost and q is the total quantity of output.
Based on the above data, answer the given subquestions.
If the company produced 100 units of goods, what would be its average variable cost? ___________
Correct answer: 55
Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall.
Based on the above data, answer the given subquestions.
Your explicit costs include
Leasing computer time
Gasoline
Money you pay grocers
All of these
Correct answer
All of these
Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall.
Based on the above data, answer the given subquestions.
Our implicit cost will be
$300 car payment
$100 a month insurance cost
Your wage at campus dining hall $6 an hour
All of these
Correct answer
Your wage at campus dining hall $6 an hour
Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall.
Based on the above data, answer the given subquestions.
Last week you purchased five large cases of Fritos for a customer who, as it turned out, did not accept delivery. You paid $200 for these cases. You have a deal with your grocers that they will pay you $0.5 for each dollar of returned merchandise. Just this week, you found a fraternity on campus that will buy the five cartons for $125 (and will pick them up from your apartment, relieving you of the need to deliver them to the frat house).
What is the opportunity cost of filling this order in $ (i.e., selling these cartons to the fraternity)? __________
Correct answer: 100
Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall.
Based on the above data, answer the given subquestions.
Last week you purchased five large cases of Fritos for a customer who, as it turned out, did not accept delivery. You paid $200 for these cases. You have a deal with your grocers that they will pay you $0.5 for each dollar of returned merchandise. Just this week, you found a fraternity on campus that will buy the five cartons for $125 (and will pick them up from your apartment, relieving you of the need to deliver them to the frat house).
Should you sell the Fritos to the fraternity? ________
Yes
No
Correct answer
Yes