PRODUCTION COSTS The graph of a typical total cost func- tion C(x) associated with the manufacture of x units of a certain commodity is shown in the figure. a. Explain why the function Cio u

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Chapter12: The Cost Of Production
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1. PRODUCTION COSTS The graph of a typical total cost func-
tion C(x) associated with the manufacture of x units of a
certain commodity is shown in the figure.
a. Explain why the function C is always increasing.
b. As the level of production x increases, the cost per
unit drops so that C(x) increases but at a slower pace.
However, a level of production is soon reached at
which the cost per unit begins to increase dramatically
(owing to a shortage of raw material, overtime, break-
down of machinery due to excessive stress and strain),
so C(x) continues to increase at a faster pace. Use the
graph of C to find the approximate level of production
Xo where this occurs.
gnibnog
gesnos
to 190 orh gi nousini to i
conUTL
A y ($)
y = C(x)
(1) 1001
101
001
RO nidniged od e
> x (thousands)
1
2 3 4 5 67 8
Transcribed Image Text:1. PRODUCTION COSTS The graph of a typical total cost func- tion C(x) associated with the manufacture of x units of a certain commodity is shown in the figure. a. Explain why the function C is always increasing. b. As the level of production x increases, the cost per unit drops so that C(x) increases but at a slower pace. However, a level of production is soon reached at which the cost per unit begins to increase dramatically (owing to a shortage of raw material, overtime, break- down of machinery due to excessive stress and strain), so C(x) continues to increase at a faster pace. Use the graph of C to find the approximate level of production Xo where this occurs. gnibnog gesnos to 190 orh gi nousini to i conUTL A y ($) y = C(x) (1) 1001 101 001 RO nidniged od e > x (thousands) 1 2 3 4 5 67 8
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