Question

A restaurant mixes ground beef that costs $b per pound with pork sausage that costs $p per pound to make a meat mixture that is used on the restaurant's signature pizza. The quarterly revenue, in thousands of dollars, from the sale of this pizza is modeled as

R(b, p) = 16b − 3b² − bp − 2p² + 14p.

(a) At what prices should the restaurant try to purchase ground beef and pork sausage to maximize the quarterly revenue from the sale of the pizza? (Round your answers to the nearest cent.)

ground beef	$
pork sausage	$

(b) Explain how the Determinant Test verifies that the result in part a gives the maximum revenue.

Since the determinant of the  ---Select--- partials second partials matrix is  ---Select--- greater than less than greater than or equal to less than or equal to equal to 0 and the second partial R_bb is  ---Select--- greater than less than greater than or equal to less than or equal to equal to 0, the prices result in a maximum profit.

(c) What is the maximum quarterly revenue from the sale of the restaurant's signature pizza? (Round your answer to three decimal places.)
$  thousand

Answer 1