Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94. 75. Cost. A company manufactures downhill skis. It has fixed costs of $25,000 and a marginal cost given by C ' ( x ) = 250 + 10 x 1 + 0.05 x where C ( x ) is the total cost at an output of x pairs of skis. Find the cost function C ( x ) and determine the production level (to the nearest unit) that produces a cost of $150,000. What is the cost (to the nearest dollar) for a production level of 850 pairs of skis?
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94. 75. Cost. A company manufactures downhill skis. It has fixed costs of $25,000 and a marginal cost given by C ' ( x ) = 250 + 10 x 1 + 0.05 x where C ( x ) is the total cost at an output of x pairs of skis. Find the cost function C ( x ) and determine the production level (to the nearest unit) that produces a cost of $150,000. What is the cost (to the nearest dollar) for a production level of 850 pairs of skis?
Solution Summary: The author explains how the marginal cost of a company is C(x) and the production level is 608.
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94.
75.Cost. A company manufactures downhill skis. It has fixed costs of $25,000 and a marginal cost given by
C
'
(
x
)
=
250
+
10
x
1
+
0.05
x
where C(x) is the total cost at an output of x pairs of skis. Find the cost function C(x) and determine the production level (to the nearest unit) that produces a cost of $150,000. What is the cost (to the nearest dollar) for a production level of 850 pairs of skis?
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100−0.5x where 0 ≤ x ≤ 300 is the number being produced. If they are already producing 50 machines, then how many more must they produce in order to increase revenue by $2000 ?
1. If the marginal revenue (in dollars per unit) for a month is given by MR = 0.3x + 450, what is the total revenue from the production and sale of the 50 units?
2.. Suppose the weekly revenue and weekly cost ( both in dollars) for a product are given by R(x)= 300x -0.001x^2 and C(x) = 4000 + 30x respectively, where x is the number of units produced and sold. Find the rate at which profit is changing with respect to time when the number of units produced and sold is $$50 and is increasing at a rate of 5 units per week.
Suppose that the marginal propensity to consume is
dC
dy
= 0.02 +
ln(y + 1)
y + 1
(in trillions of dollars)
and that consumption is $6.04 trillion when disposable income is $0. Find the national consumption function.
Chapter 6 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY