A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine...

A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine straw sells for $p per load. The nursery's average weekly profit from the sale of these two types of mulch can be modeled as P(p, b) = 140p − 3p2 − pb − 2b2 + 130b + 35 dollars. (a) How much should the nursery charge for each type of mulch to maximize the weekly profit from the sale of mulch? (Round your answers to the nearest cent.) pine straw $ bark mulch $ (b) Explain how the Determinant Test verifies that the result in part (a) gives the maximum profit. Since the determinant of the matrix is 0 and the second partial Ppp is 0, the prices result in a maximum profit. (c) What is the maximum weekly profit from the sales of these two types of mulch? (Round your answer to the nearest dollar.) $

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milcah answered 1 year ago

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