A firm produces the goods a and b using the four inputs w x


Question: A firm produces the goods A and B using the four inputs W, X, Y and Z in the following quantities:

1 unit of A requires 9 units of W, 30 of X, 20 of Y and 20 of Z

1 unit of B requires 13 units of W, 55 of X, 28 of Y and 20 of Z

The firm has available 468 units of W, 1,980 units of X, 1,120 units of Y and 800 units of Z. What production mix will maximize its total profit if each unit of A adds £60 to profit and each unit of B adds £75?

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Engineering Mathematics: A firm produces the goods a and b using the four inputs w x
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