Question
In Exercises 1-4, for each cost function, find the marginal cost at the given production level $x$, and state the units of measurement. (All costs are in dollars.) HINT [See Example 1.]$C(x)=10,000+5 x-0.0001 x^{2} ; x=1,000$
Step 1
The derivative of a function gives us the rate of change of the function. In this case, it will give us the marginal cost, which is the cost of producing one more unit. The cost function is given by $C(x)=10,000+5x-0.0001x^{2}$. Show more…
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For each cost function, find the marginal cost at the given production level $x$, and state the units of measurement. (All costs are in dollars.) HINT [See Example 1.] $C(x)=20,000+50 x+\frac{10,000}{x} ; x=100$
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