3.) A company determines that the cost in dollars to the manufacture x cases of the dvd "math caught in embarrassing moments" is given by C(x) = 100 + 15x - x^2, (0< or = x < or = 7)

a.) Find the average rate of change of the cost per case for the manufacturing between 1 and 5 cases [ review ex. 2a]

So on the average, the cost increased at the rate of _______ per case when the production increased from 1 to 5 cases.

b.) Find the instantaneous rate of change of cost with respect to the number of cases produced when just one case is produced. [ review ex. 2b]

When 1 case is manufactured , in the cost is ___________ at the rate of ______ per case . (marginal cost)

c.) Find the marginal cost when 5 cases are made.

When 5 cases are manufactured , the cost is increasing at the rate of $________ per case: that is the marginal cost when x+5 is $__________. Notice that as the number of items produced goes up, the marginal cost goes down.

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Rates of Change two

3.) A company determines that the cost in dollars to the manufacture x cases of the dvd "math caught in embarrassing moments" is given by C(x) = 100 + 15x - x^2, (0< or = x < or = 7)

The rate of change in the cost is
C'(x) = ...

Solution Summary

Rates of change of cost and marginal cost are investigated and the steps to get to the arrive is provided. The solution is detailed and well presented.

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... demand curves expressed in their home currency do not change. ... 1. At the current exchange rates, what is the optimal ... is the derivative of the total cost function ...

... made about the future dividends stream and growth rates which would ... tend to offset the effects of the change in the ... can the WACC be both an average cost and a ...

... on exchange rates, inflation rates, growth rates, etc. ... on the foreign exchange market will change as a ... the variable resource and the marginal cost of producing ...

... of constant, increasing, or decreasing marginal rates of technical ... and 3 units of Y. The daily cost per unit ... Would you recommend a change in the present input ...

... Answer: B) increases in wage rates will result in ... D) A technological change increases output per worker in the ... the price of wood decreases the cost of furniture ...

... when the wage rate is W0 (holding the cost of capital ... for labor from a decrease in wage rates can be ... substitution effect measures the effect of a change in an ...

... continuing production to the point where Marginal cost is equal ... or costs how likely is that answer to change. ... renting may the choice when interest rates are 5 ...

... reaches $75 million there is a change in the ... in the first paragraph and information 0n marginal cost of capital ... Project C and D yield lower rates of return ...