Question

A company makes two products, P and Q. They use two machines, A and B to make these two products. Each unit of P require of processing time on machine A and processing time on machine A and machine B is available for To have the most CM, how much of each product should be made per week. Formulate and solve by hand. You can take a picture of your work and upload it or type it all out in excel and upload that file. 47 minutes 30 minutes of processing time on machine B. Each unit of Q requi 27 minuets of 29 minutes of processing time on machine B. Machine A is availa 43 hours per week and 32 hours per week. The CM for a unit of p is 24 and the contribution margin (CM) per unit of Q is 33

Answer 1

The objective cquation along with the constraints is the following: Objective equation: Z 24p 33q constraints: 47р + 27q < 2580 30р + 29g < 1920 0, y0 Here p and q are number of products per weck of P and Q respectivcly. Now the solution region would be like the following:

The region is the common region in red and blue. The corner point and their corresponding value of Z is given below:

Corner Points (p,q)	Z = 24p + 33q
(0,0)	0
(0,66.2)	2184.6
(41.555,23.219)	1763.7
(54.894,0)	1317.46

Hence to get the most CM, 66 product of Q per week should be made.