A store has an average number of sold shirts monthly of 90. It is estimated that the total expenses of the store is 65x + 12. If the store sells its shirts at the cost of x dollars each. Express the profit, P(x) as a function of x.
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The function or polynomial for profit will be P(x)=25x+12.
GIVEN: A store has an average number of sold shirts monthly of 90. It is estimated that the total expenses of the store are 65x + 12.
TO FIND Profit P(x) as a function of x.
SOLUTION:
According to the question,
The store sells its shirts at the cost of x dollars each.
The store has an average number of sold shirts monthly of 90.
So, the function for the same will be 90x
The estimated total expense of the store is 65x+ 12.
As we know,
The profits are revenue minus the expenditures
Therefore, The function in terms of x will be.
P(x)=R(x)−E(x)
Putting the values.
we get,
P(x) = 90x - 65x + 12
P(x) = 25x + 12
Therefore,
The required function will be 25x+90.
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