The owner of a fabric store has determined that the profits p of the store are approximately given by p(x) = -x^2 + 70x+67, where x is the yards of fabric sold daily. find the maximum profit to the nearest dollar. a) $617 b) $792 c) $1017 d) $1292 e) none

Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Profit function of the store is given by

We need to find the maximum profit.

For this, we first derivate the above function:

Now, put P(x) = 0, we get that

Now, we will check that its maximality by finding the second derivative:

it gives maximum profit at x = 35 yards.

And the maximum profit would be

Hence, Option 'd' is correct.

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step-by-step explanation: