Question 12
“Milo’s Computation Solutions (MCS)” makes different types of calculators and measuring applications. Currently, the company is preparing to introduce two new calculators: “Financial Calculator” and “Technical Calculator”. Each of the new calculator has three components: “Base”, “Electronic Cartridge” and “Top”. The same base is used for both calculators. However, the “Top” and “Electronic Cartridge” are different for the two calculators. All components can be manufactured by MCS or can be purchased from outside suppliers. The cost for manufacturing a component and the cost for component purchase (referred to as purchase cost) from a supplier is presented in Table-4.
MCS has planned to make 3000 Financial Calculators and 2000 Technical Calculators. However, manufacturing capacity is limited. A total of 200 hours of regular manufacturing capacity is available and a total of 50 hours of overtime is available to MCS for making the different components. It is noted that overtime involves a premium at the additional cost of ₹9 per hour. The manufacturing times required to manufacture the different components is presented in Table-5 below. The time required to assemble the components to make any calculator is considered to be 0 (negligible).
The problem faced by MCS is to determine how many units of each component to manufacture and how many units of each component to purchase in order to minimize the total cost for satisfying the demand. The company does not hold any inventory for components and wants to ensure all demand is met.
Given this information, answer the subquestions.
Excluding the non-negativity constraint, how many (count of) constraints are present in the standard form of the primal linear programming formulation of the problem?