Suppose that the monthly cost, in dollars, of producing x chairs is C(x), and currently chairs are produced monthly. a) What is the current monthly cost? b) What would be the additional cost of increasing production to chairs monthly? c) What is the marginal cost when x? d) Use the marginal cost to estimate the difference in cost between producing and chairs per month. e) Use the answer from part (d) to predict C().

the numbers are missing, so I looked for similar questions:

a) What is the current monthly cost?

C(35) = -0.006(35³) + 0.07(35²) + 19(35) + 700 = -$257.25 + $85.75 + $665 + $700 = $1,193.50

b) What would be the additional cost of increasing production to 38 chairs monthly?

C(38) = -0.006(38³) + 0.07(38²) + 19(38) + 700 = -$329.23 + $101.08 + $722 + $700 = $1,193.85

additional cost of producing 3 extra chairs = $1,193.85 - $1,193.50 = $0.35

c) What is the marginal cost when x = 35?

C(x) = -0.006x³ + 0.07x² + 19x + 700

C'(x) = -0.018x² + 0.14x + 19

marginal cost = -0.018(35²) + 0.14(35) + 19 = -$22.05 + $4.90 + $19 = $1.85

d) Use the marginal cost to estimate the difference in cost between producing 35 and 37 chairs per month.

current cost to produce 38 chairs = $1,193.85

current cost to produce 35 chairs = $1,193.50

difference between producing 35 and 37 chairs = $1,193.85 - $1,193.50 + $1.85 = $2.10

e) I cannot find information about this requirement, similar questions end in (d), there is no (e). Can you write down the complete requirement?

answer when little or no data is available;