The price-demand equation and the cost function for the production of table saws are given, respectively, by x = 9,600-32p and C(x) = 72,000+ 60x, where x is the number of saws that can be sold at a price of $p per saw and C(x) is the total cost (in dollars) of producing x saws. Complete parts (A) through (1) below. Find and interpret R'(4,500). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) O A. R'(4,500)=: at a revenue of $ per saw, saw production is decreasing at the rate of per saw. OB. R'(4,500)= at a production level of , revenue is decreasing at the rate of $ OC. R'(4,500)=; at a production level of at a production level per saw. of revenue is increasing at the rate of $ OD. R'(4,500)=; at a revenue of $ per saw, saw production is increasing at the rate of 0.5M- (F) Graph the cost function and the revenue function on the same coordinate system for 0≤x≤9,600. Find the break-even points, and indicate regions of loss and profit. Use light shading for regions of profit and dark shading for regions of loss. Choose the correct graph below. OA. O B. Q (9287.27,90764.09) 0.5M- 9600 9600 Break-even points: (2232.73,514035.91) and Break-even points: (2232.73,514035.91) and (G) Find the profit function in terms of x. P(x)= Q per dollar. (9287.27,90764.09) per dollar. C. 0.5M- Q 9600 Break-even points: (312.73,90764.09) and (7367.27,514035.91) O D. 0.5M- Q 0 9600 Break-even points: (312.73,90764.09) and (7367.27,514035.91)
The price-demand equation and the cost function for the production of table saws are given, respectively, by x = 9,600-32p and C(x) = 72,000+ 60x, where x is the number of saws that can be sold at a price of $p per saw and C(x) is the total cost (in dollars) of producing x saws. Complete parts (A) through (1) below. Find and interpret R'(4,500). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) O A. R'(4,500)=: at a revenue of $ per saw, saw production is decreasing at the rate of per saw. OB. R'(4,500)= at a production level of , revenue is decreasing at the rate of $ OC. R'(4,500)=; at a production level of at a production level per saw. of revenue is increasing at the rate of $ OD. R'(4,500)=; at a revenue of $ per saw, saw production is increasing at the rate of 0.5M- (F) Graph the cost function and the revenue function on the same coordinate system for 0≤x≤9,600. Find the break-even points, and indicate regions of loss and profit. Use light shading for regions of profit and dark shading for regions of loss. Choose the correct graph below. OA. O B. Q (9287.27,90764.09) 0.5M- 9600 9600 Break-even points: (2232.73,514035.91) and Break-even points: (2232.73,514035.91) and (G) Find the profit function in terms of x. P(x)= Q per dollar. (9287.27,90764.09) per dollar. C. 0.5M- Q 9600 Break-even points: (312.73,90764.09) and (7367.27,514035.91) O D. 0.5M- Q 0 9600 Break-even points: (312.73,90764.09) and (7367.27,514035.91)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The price-demand equation and the cost function for the production of table saws are given, respectively, by x = 9,600 - 32p and C(x) = 72,000 + 60x, where x is the number of saws that can be sold
at a price of $p per saw and C(x) is the total cost (in dollars) of producing x saws. Complete parts (A) through (1) below.
Find and interpret R'(4,500). Select the correct choice below and fill in the answer boxes within your choice.
(Simplify your answers.)
A. R'(4,500)=
B. R'(4,500)=
O C. R'(4,500) =
D. R'(4,500)=
; at a revenue of $ per saw, saw production is decreasing at the rate of
; at a production level of
revenue is decreasing at the rate of $
; at a production level of
revenue is increasing at the rate of $
per saw, saw production is increasing at the rate of
0.5M-
; at a revenue of $
(9287.27,90764.09)
(F) Graph the cost function and the revenue function on the same coordinate system for 0≤x≤9,600. Find the break-even points, and indicate regions of loss and profit. Use light shading for regions
of profit and dark shading for regions of loss. Choose the correct graph below.
A.
B.
0.5M-
(G) Find the profit function in terms of x.
P(x) =
0
9600
9600
Break-even points: (2232.73,514035.91) and Break-even points: (2232.73,514035.91) and
0
per saw.
per saw.
(9287.27,90764.09)
per dollar.
per dollar.
C.
0.5M-
X
0
9600
Break-even points: (312.73,90764.09) and
(7367.27,514035.91)
D.
0.5M-
9600
Break-even points: (312.73,90764.09) and
0
(7367.27,514035.91)
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