2.) Micheal will attend college in 5 years. He anticipates he will need $19,000 to pay for the first year. He currently has $6,4
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Answer:
Widgets should be sold by $38.88 to maximize the profit.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
.
In this question:
The profit is given by:
Which is a quadratic function with
The maximum profit happens at the x of the vertex. Thus
Widgets should be sold by $38.88 to maximize the profit.
The formula for total loan cost is attached.
10 years = 120 payments
MONTHLY Interest = .0325 / 12 = <span> <span> <span> 0.0027083333 </span> </span> </span>
total = <span>0.0027083333 * 21,000 * 120 / (1-(1</span><span><span>.0027083333)-120 </span> </span>
total = 6,825 / (1- <span> <span> <span> 0.7228448406 </span> </span> </span> )
total = 6,825 / <span> <span> <span> 0.2771551594 </span> </span> </span>
total = <span> <span> <span> 24,625.20 </span> </span> </span>
10 years = 120 payments
MONTHLY Interest = .0325 / 12 = <span> <span> <span> 0.0027083333 </span> </span> </span>
total = <span>0.0027083333 * 21,000 * 120 / (1-(1</span><span><span>.0027083333)-120 </span> </span>
total = 6,825 / (1- <span> <span> <span> 0.7228448406 </span> </span> </span> )
total = 6,825 / <span> <span> <span> 0.2771551594 </span> </span> </span>
total = <span> <span> <span> 24,625.20 </span> </span> </span>