(b) The highest price p, in dollars per thousand widgets, at which N can be sold is given by the formula p= 75 – 0.02N. Using this, find a formula for the total revenue R as a function of N. R(N) = %D (c) Use your answers to parts (a) and (b) to find a formula for the profit P of this manufacturer as a function of N. P(N) =

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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Need help with B C & D
A manufacturer of widgets has fixed costs of $650 per month, and the
variable cost is $66 per thousand widgets (so it costs $66 to produce 1
thousand widgets). Let N be the number, in thousands, of widgets produced
in a month.
(a) Find a formula for the manufacturer's total cost C as a function of N.
C(N)
650 + 66N
%D
(b) The highest price p, in dollars per thousand widgets, at which N can
be sold is given by the formula p = 75 - 0.02N. Using this, find a formula for
the total revenue R as a function of N.
R(N) =
(c) Use your answers to parts (a) and (b) to find a formula for the profit
P of this manufacturer as a function of N.
P(N)
(d) Use your formula from part (c) to determine the two break-even
points for this manufacturer. Assume that the manufacturer can produce
at most 500 thousand widgets in a month. (Round your answers to two
decimal places.)
thousand widgets per month (smaller value)
thousand widgets per month (larger value)
Transcribed Image Text:A manufacturer of widgets has fixed costs of $650 per month, and the variable cost is $66 per thousand widgets (so it costs $66 to produce 1 thousand widgets). Let N be the number, in thousands, of widgets produced in a month. (a) Find a formula for the manufacturer's total cost C as a function of N. C(N) 650 + 66N %D (b) The highest price p, in dollars per thousand widgets, at which N can be sold is given by the formula p = 75 - 0.02N. Using this, find a formula for the total revenue R as a function of N. R(N) = (c) Use your answers to parts (a) and (b) to find a formula for the profit P of this manufacturer as a function of N. P(N) (d) Use your formula from part (c) to determine the two break-even points for this manufacturer. Assume that the manufacturer can produce at most 500 thousand widgets in a month. (Round your answers to two decimal places.) thousand widgets per month (smaller value) thousand widgets per month (larger value)
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