Answer:
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?
