The profit function for sales of two models of television sets at a chain discount store is given by where x is the number of sales per week of model A, and y is the number of sales per week of model B. Find and interpret the result.

The correct option is B) Px(10, 15) = 80

At a sales level of 10 units of model A and 15 units of model B, increasing sales of model A by one unit and holding sales of model B at 15 units will increase profit by approximately $80.

Explanation:

Note: This question is note complete. The complete question is therefore provided before answering the question as follows:

The profit function for sales of two models of television sets at a chain discount store is given by P(x, y) = 140x + 160y - 6x^2 + 4xy - 8y^2 - 500, where x is the number of sales per week of model A, and y is the number of sales per week of model B. Find Px(10, 15) and interpret the result.

A) Px(10, 15) = 120

At a sales level of 10 units of model A and 15 units of model B, increasing sales of model A by

one unit and holding sales of model B at 15 units will increase profit by approximately $120

B) Px(10, 15) = 80

At a sales level of 10 units of model A and 15 units of model B, increasing sales of model A by one unit and holding sales of model B at 15 units will increase profit by approximately $80.

C) Px(10, 15) = 140

At a sales level of 10 units of model A and 15 units of model B, increasing sales of model A by one unit and holding sales of model B at 15 units will increase profit by approximately $140

D) Px(10, 15) = 60

At a sales level of 10 units of model A and 15 units of model B, increasing sales of model A by one unit and holding sales of model B at 15 units will increase profit by approximately $60

The explanation to the answer is now given as follows:

Given;

P(x, y) = 140x + 160y - 6x^2 + 4xy - 8y^2 - 500 (1)

Taking partial differentiation of equation (1) with respect to x, we have:

Px(x, y) = 140 - 12x + 4y (2)

Since we are given Px(10, 15), it implies we substitutes for x = 10 and y = 15 into equation (2) and estimate as follows:

Px(10, 15) = 140 - (12 * 10) + (4 * 15)

Px(10, 15) = 140 - 120 + 60

Px(10, 15) = 80

Therefore, the correct option is B) Px(10, 15) = 80

At a sales level of 10 units of model A and 15 units of model B, increasing sales of model A by one unit and holding sales of model B at 15 units will increase profit by approximately $80.

someone i feel is a leader in my life id have to say would be my mother because she has give me great advice in life and got me out of tough situations. some characteristics she has are creativity, honesty, commitment, respect for others, and communication. one example of a situation when she demonstrated leadership was when i was working late on homework and i started to get stressed and got upset, she asked me if i needed some , and she me with my work. she demonstrated communication and commitment.

i don't know if this is exactly what your looking for but i hope this !