Question

Question 1 A small company manufactures three different electronic components for computers. Component A requires two hours of fabrication and 1 hour of assembly. Component B requires 3 hours of fabrication and 1 hour of assembly. Component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,000 labor-hours of fabrication time and 800 labor-hours of assembly time available per week. Due to storage restrictions, the combined total number of components produced each week cannot exceed 420. The profit on each component A, B, and C is $7, $8 and $10 respectively. How many components of each type should they company manufacture each week in order to maximize profit, assuming that all components can be sold

Answer 1

Answer: A should be A=200, B should be B=0, and component C should be C=350. This will lead to a maximum profit of$4550.

Explanation:

Let A, B, and C be the number of components of types A, B, and C that the company should manufacture each week. The aim is to maximize the profit. Profit per unit of A, B, and C is $7, $8, and $10, respectively. So, formulate the objective function as follows :MaxP=7A+8B+10C