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Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x + 700, and currently 35 chairs are produced monthly. a)What is the current monthly cost? b)What is the marginal cost when x = 35? c)Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d)What would be the actual additional monthly cost of increasing production to 37 chairs monthly? a) The current monthly cost is $ 1536.5. (Round to the nearest cent as needed.) b) The marginal cost when x= 35 is $ 31.25 per item. (Round to the nearest cent as needed.) c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. The monthly cost in increasing production to 37 chairs monthly is $ 1599. (Round to the nearest cent as needed.) d) The actual additional monthly cost of increasing production to 37 chairs monthly is S (Round to the nearest cent as needed.)

Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x + 700, and currently 35 chairs are produced monthly. a)What is the current monthly cost? b)What is the marginal cost when x = 35? c)Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d)What would be the actual additional monthly cost of increasing production to 37 chairs monthly? a) The current monthly cost is $ 1536.5. (Round to the nearest cent as needed.) b) The marginal cost when x= 35 is $ 31.25 per item. (Round to the nearest cent as needed.) c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. The monthly cost in increasing production to 37 chairs monthly is $ 1599. (Round to the nearest cent as needed.) d) The actual additional monthly cost of increasing production to 37 chairs monthly is S (Round to the nearest cent as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 85CR
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Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x + 700, and currently 35 chairs are produced monthly. a)What is the current monthly cost? b)What is the marginal cost when x = 35? c)Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d)What would be the actual additional monthly cost of increasing production to 37 chairs monthly? a) The current monthly cost is S 1536.5. (Round to the nearest cent as needed.) b) The marginal cost when x= 35 is $ 31.25 per item. (Round to the nearest cent as needed.) c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. The monthly cost in increasing production to 37 chairs monthly is $ 1599. (Round to the nearest cent as needed.) d) The actual additional monthly cost of increasing production to 37 chairs monthly is S (Round to the nearest cent as needed.)
Transcribed Image Text:Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x + 700, and currently 35 chairs are produced monthly. a)What is the current monthly cost? b)What is the marginal cost when x = 35? c)Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d)What would be the actual additional monthly cost of increasing production to 37 chairs monthly? a) The current monthly cost is S 1536.5. (Round to the nearest cent as needed.) b) The marginal cost when x= 35 is $ 31.25 per item. (Round to the nearest cent as needed.) c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. The monthly cost in increasing production to 37 chairs monthly is $ 1599. (Round to the nearest cent as needed.) d) The actual additional monthly cost of increasing production to 37 chairs monthly is S (Round to the nearest cent as needed.)
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