Math  /  Calculus

Question107 Assignment 11: Problem 6 (1 point)
Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by C=70000+40x,R=400x220C=70000+40 x, \quad R=400-\frac{x^{2}}{20} where the production output in one week is xx calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:
Rate of change in cost == 20000 \square Rate of change in revenue =20000=-20000 \square Rate of change in profit =24000=-24000 \square

Studdy Solution
Now, let's compare our results with the given options:
1. Rate of change in cost = 20000 This matches our calculated value, so this is correct.
2. Rate of change in revenue = -20000 This does not match our calculated value of -300000, so this is incorrect.
3. Rate of change in profit = -24000 This does not match our calculated value of -320000, so this is incorrect.
Therefore, only the first statement about the rate of change in cost is correct.

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