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.

... Discount rate difficult to determine ... in the distant future, is more sensitive to changes in the ... Hence their values will change substantially then the NPV with ...

... OH Rate: 100,000 / 40,000 = $2.50 per DL hour Job ... manager predicts that these two changes would increase ... company's monthly net operating income of this change? ...

... Variable cost rate = Change in total cost/Change in activity = (46,200 ... It is the step fixed costs in which the fixed costs will increase with activity. ...

... Clearly, the result of this change is that the marginal... If the wage rate is $15, it's clear that in this ... hiring a new worker causes output to increase from 100 ...

... It is the rate at which the net present value of ... in the sales volume will not cause a change in the ... sales volume causes the different type of changes in the ...

... c. Assuming that next year's sales increase by 15 percent ... and the variable cost ratio and tax rate also remain ... to forecast the EPS for the given change in sales ...

... c. The firm can increase assets to $41.67 million. ... 3% of the stock price, and it's growth rate is 7%. If the tax rate is 35% what is the firm's cost of equity ...