The function c(x)=400x-0.2x^2 represents the total costs for a company to produce a product where c is the total cost in dollars
and x is the number of units sold which statement is true?
One thousand units have the minimum cost of $200000
One thousand units have the maximum cost of $200000
Two thousand units have the minimum cost of $800000
Two thousand units have the maximum cost of $800000
2 answers:
The first one is true. Plugging in 1000 units for x gives c(x) = 200000, which is the minimum the company can sell it for while still making a profit.
It can't be the maximum as the company will want to make a profit.
The third and fourth have mathematical errors. Both will equal 0 and not 800000.
C(1000)=400(1000)-.2

c(1000)=400,000-200,000=200,000
c(2000)=400(2000)-.2

c(2000)=800,000-800,000=0
So, 1000 units is going to cost $200,000. I'm not sure how that works with minimum and maximum since it is an exact answer.
Hope that helps though.
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