Answer:
449.25 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
...(1)
For maximum profit,
Put dy/dx = 0So,

Now put x = 25.5 in equation (1).

so, the required answer is 449.25 units.
Answer:
The function
best models the situation.
Step-by-step explanation:
The values in the table do not lie over a straight line because their slope is not a constant; for example


we see here that
therefore a linear equation cannot represent this situation.
The values in the table are increasing exponentially , therefore the equation modeling the situation will be of the form:

we take two points from the table for evaluating
and
namely points
and
thus we have
(1). 
(2).
From equation (1) we solve for 

and put this value into equation (2)



with this value
, we solve for
in equation (1):



Thus we have the equation

Answer:
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Step-by-step explanation:
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Answer:
Concept: Algebraic Manipulation
- We want to make y the main variable. Start by moving y to over to one side or multiplying the inverse.
- So we have

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