...... c. The graphs of R(x) and C(x) are shown below. R(X) 582.4- 291.2- 14 28 Number of items Suppose these items sell for $20.80 each. Construct the revenue function. R(x) =O Use the above graph to complete the blanks. Once production begins, the company will first break even when they make items and then again when they make items. d. For what production values will the company produce a profit? OA 14 28 OC. 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 77E: Minimizing cost A company that produces and sells digital cameras has determined that the total...
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For the cost function whose graph is shown to the right, costs increase rapidly at low production levels, but as larger
quantities are produced, the costs increase at a slower rate (due to production being more efficient on a larger scale.)
ACost (5)
750-
C(X)
At even higher production levels, production costs again climb rapidly.
28
42
Number of items, x
14
T........
a. The cost to produce an additional item is the marginal cost.
Consider the production levels at x 3 and x 18, shown on the graph below
0-
14
Number of items
For which production level, x 3 and x 18, is the marginal cost greater?
The marginal cost is greater at x
items.
b. Interpret your answer to part a in practical terms.
O A. The cost to go from producing 18 items to 19 items is greater than the cost to go from producing 3 items to 4 items,
B. The cost to go from producing 3 items to 4 items is greater than the cost to go from producing 18 items to 19 tems.
OC. The cost of producing 18 items is greater than the cost of producing 3 items
C
Transcribed Image Text:For the cost function whose graph is shown to the right, costs increase rapidly at low production levels, but as larger quantities are produced, the costs increase at a slower rate (due to production being more efficient on a larger scale.) ACost (5) 750- C(X) At even higher production levels, production costs again climb rapidly. 28 42 Number of items, x 14 T........ a. The cost to produce an additional item is the marginal cost. Consider the production levels at x 3 and x 18, shown on the graph below 0- 14 Number of items For which production level, x 3 and x 18, is the marginal cost greater? The marginal cost is greater at x items. b. Interpret your answer to part a in practical terms. O A. The cost to go from producing 18 items to 19 items is greater than the cost to go from producing 3 items to 4 items, B. The cost to go from producing 3 items to 4 items is greater than the cost to go from producing 18 items to 19 tems. OC. The cost of producing 18 items is greater than the cost of producing 3 items C
c. The graphs of R(x) and C(x) are shown below.
R(x
582.4
291.2-
14
28
Number of items, x
Suppose these items sell for $20.80 each. Construct the revenue function.
R(x) =D
Use the above graph to complete the blanks.
Once production begins, the company will first break even when they make items and then again when they make
items.
d. For what production values will the company produce a profit?
OA 14 <x< 28
OB. 0<x< 14,
OC. 0<x< 14
x> 28
Transcribed Image Text:c. The graphs of R(x) and C(x) are shown below. R(x 582.4 291.2- 14 28 Number of items, x Suppose these items sell for $20.80 each. Construct the revenue function. R(x) =D Use the above graph to complete the blanks. Once production begins, the company will first break even when they make items and then again when they make items. d. For what production values will the company produce a profit? OA 14 <x< 28 OB. 0<x< 14, OC. 0<x< 14 x> 28
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