A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. R(x,y) = 140x + 160y +0.05xy - 0.09x2 - 0.03y2 C(x,y) = 9x + 9y + 20,000 Find P,(1400,1600) and P,(1400,1600), and interpret the results. P(1400,1600) = Choose the correct interpretation of P,(1400,1600). O A. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $41. O B. When selling 1,400 units of type A and 1,600 units of type B, the profit will decrease approximately $51 per unit increase in production of type A. OC. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $51. O D. When selling 1,400 units of type A and 1,600 units of type B, the profit will decrease approximately $41 per unit increase in production of type A. Py(1400,1600) = Choose the correct interpretation of P,(1400,1600). O A. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $135. O B. When selling 1,400 units of type A and 1,600 units of type B, the profit will increase approximately $125 per unit increase in production of type B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows.
R(x,y) = 140x + 160y + 0.05xy – 0.09x2 – 0.03y2
C(x,y) = 9x+ 9y + 20,000
Find P,(1400,1600) and P,(1400,1600), and interpret the results.
P(1400,1600) =
Choose the correct interpretation of P(1400,1600).
A. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $41.
B. When selling 1,400 units of type A and 1,600 units of type B, the profit will decrease approximately $51 per unit increase in production of type A.
C. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $51.
D. When selling 1,400 units of type A and 1,600 units of type B, the profit will decrease approximately $41 per unit increase in production of type A.
Py(1400,1600) = O
%3D
Choose the correct interpretation of Py(1400,1600).
O A. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $135.
B. When selling 1,400 units of type A and 1,600 units of type B, the profit will increase approximately $125 per unit increase in production of type B.
C. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $125.
O D. When selling 1,400 units of type A and 1,600 units of type B, the profit will increase approximately $135 per unit increase in production of type B.
Transcribed Image Text:A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue and cost functions (in dollars) are as follows. R(x,y) = 140x + 160y + 0.05xy – 0.09x2 – 0.03y2 C(x,y) = 9x+ 9y + 20,000 Find P,(1400,1600) and P,(1400,1600), and interpret the results. P(1400,1600) = Choose the correct interpretation of P(1400,1600). A. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $41. B. When selling 1,400 units of type A and 1,600 units of type B, the profit will decrease approximately $51 per unit increase in production of type A. C. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $51. D. When selling 1,400 units of type A and 1,600 units of type B, the profit will decrease approximately $41 per unit increase in production of type A. Py(1400,1600) = O %3D Choose the correct interpretation of Py(1400,1600). O A. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $135. B. When selling 1,400 units of type A and 1,600 units of type B, the profit will increase approximately $125 per unit increase in production of type B. C. Selling 1,400 units of type A and 1,600 units of type B will yield a profit of approximately $125. O D. When selling 1,400 units of type A and 1,600 units of type B, the profit will increase approximately $135 per unit increase in production of type B.
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