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Kamila [148]
3 years ago
12

A company that sells widgets has to pay 1000 in one-time equipment fees and then it costs $\$0.50$ for each widget it makes. It

sells widgets at a price of $2.75 per widget. What is the least number of widgets the company has to sell in order to make a profit?
Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

Answer:

12 widgets

Step-by-step explanation:

IgorLugansk [536]3 years ago
5 0

Answer:

445

Step-by-step explanation:

\text{Profit}=\text{Price}-\text{Cost}\\\text{Profit}=2.75-50=2.25\\\text{In order to make back the starting amount we need to sell n lots of widgets.}\\2.25n\geq 1000\\n\geq \frac{1000}{2.25}\\n\geq 444.444444\\\text{You can't sell a fraction of products, so you need to round it up to the nearest number.}\\n=445

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Given:

Principal = $14850

Rate of interest = 4% compounded semiannually.

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Formula for amount is:

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Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.

The interest is compounded semiannually, so n=2.

Putting P=14850, r=4, n=2, t=3 in the above formula, we get

A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}

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A=16723.511937

A\approx 16723.51

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