Labor and Material Costs for Manufacturing Each of Three Types

Short Answer

Labor and material costs for manufacturing each of three types of products M, N, and P are given in the table:ProductMNPLabor$50$40$50Materials$60$40$70The weekly allocation for labor is $50,000 and for materials is $80,000. There are to be 3 times as many units of product M manufactured as units of product P. How many of each type of product would be manufactured each week to use exactly each of the weekly allocations? Set up a system of linear equations, letting , , and be the number of units of products M, N, and P, respectively, manufactured in one week.