Discuss the below:
Q1: The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit produced and its corresponding profit value are summarized in the following table:
DEPARTMENT
PRODUCT WIRING DRILLING ASSEMBLY INSPECTION UNIT PROFIT ($)
XJ201 0.6 0.2 0.5 0.7 12
XM897 0.7 1.2 4.6 1.2 15
TR29 1.6 2.7 1.2 0.5 18
BR788 1.2 3.6 2.4 0.8 11
Q2: The production available in each department each month and the minimum monthly production requirement to fulfill contracts are as follows:
DEPARTMENT CAPACITY PRODUCT MINIMUM PRODUCTION
(HOURS) LEVEL
Wiring 20,000 XJ201 240
Drilling 20,800 XM897 ¬ 350
Assembly 28,650 TR29 420
Inspection 19,000 BR788 540
The production manager has the responsibility of specifying production levels for each product for the coming month. Help him by formulating (that is, setting up the constraints and objective function) Weinberger's problem using LP. What is the optimal solution?