Answer:
{-4, 3}
Step-by-step explanation:
To find "solutions," you must set this function equal to zero:
y = -7(x - 3)(x + 4) = 0
and then set each factor equal to 0 separately and solve each resulting equation for x:
x - 3 = 0 yields x = 3, and
x + 4 = 0 yields x = -4
Answer:
That is correct
Step-by-step explanation:
Answer:
Selling 40 items will produce a maximum profit.
Step-by-step explanation:
We need to use First and Second Derivative Tests on profit function to determine how many items will lead to maximum profit. Let , where is the profit for a product, measured in US dollars, and is the amount of items, dimensionless.
First we derive the profit function and equalize it to zero:
(Eq. 1)
Roots are found by Quadratic Formula:
and
Only the first root may offer a realistic solution. The second derivative of the profit function is found and evaluated at first root. That is:
(Eq. 2)
(Absolute maximum)
Therefore, selling 40 items will produce a maximum profit.
800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6
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