A local company produces two items. Each item requires assembly time, inspection time and storage time. The amount of resources to make these items are limited. The manager has created the two tables below with the following information.
Item 1 Item 2
Profit per unit 55 55
Assembly time per unit 2 9
Inspection time per unit 3 3
Storage space per unit 2 1
Resource Amount Available
Assembly time 100 hours
Inspection time 39 hours
Storage space 22 cubic feet
The manager of this company wants to determine the quantity to produce for each item such that they will maximize the companies profits. In doing so, please answer the following questions:
a) What is the desired output for item 1?
b) What is the desired output for item 2?
c) What is the optimal profit?