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2 years ago

11

Unendo wishes to maximize the weekly profit of producing and selling the game. Find the price, p, per game that generates maximu

m profit.

1 answer:

morpeh [17]2 years ago

7 0

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

The highest benefit is where the unit benefit equals the marginal income

Marginal price = 17q

Score of income=-0.05q

MC = MR

MC=17

MR =DERIVATIVE OF ( $80q-0.05 q^2$ )

$=80-2 \times 0.05q\\\\=80-0.1q$

$\to MR=MC \\\\$

$80-0.1q=17\\\\80-17= 0.1q\\\\0.1q=63\\\\q= \frac{63}{0.1}\\\\q=630$

Retail prices calculation

$\to P=80-630 \times 0.05$

$=80 -31.5\\\\= 48.5$

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3 years ago

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Answer:

$n = 65m$

Number of minutes is 80 minutes

Step-by-step explanation:

Given

The attached table

Calculating the number of copies the machine can make in a minute

Represent number of minutes with m and number of copies with n

First, we need to calculate the ratio of m to n

<em></em> $Ratio = \frac{n}{m}$ <em></em>

<em>When m = 5; n = 325</em>

$Ratio = \frac{325}{5}$

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<em>When m = 10; n = 650</em>

$Ratio = \frac{650}{10}$

$Ratio = 65$

<em>When m = 15; n = 975</em>

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When we continue for other values of m and n, the ratio remains the same;

So; we make use of $Ratio = \frac{n}{m}$ to determine the relationship between m and n

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$65 = \frac{n}{m}$

Multiply both sides by m

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$n = 65m$

This implies that, you have to multiply the number of minutes by 65 to get the number of copies

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In this case;

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So;

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Multiply both sides by m

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Divide both sides by 65

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$m = \frac{5200}{65}$

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