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.

Question

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.

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The Answer of 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.

Labor and Material Costs for Manufacturing Each of Three Types