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Effectus [21]
2 years ago
6

You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In

two months, each of you had made $224. How much profit did the shop make in the second month?
a.$88
b.$312C.$360D.$1920
Mathematics
2 answers:
MAVERICK [17]2 years ago
7 0
First month: 536/4 = 134 per person
second month: 224-134 = 90 per person, so 4x90 = 360 for the shop
alexandr1967 [171]2 years ago
4 0
C.  $360


$224x4=896 (total profit)

$896 (total) - $536 (first month profit) = $360 (second month profit)
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2 years ago
Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day
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Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.
viktelen [127]

Answer:

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Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

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The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k

C(q) = -(1/4)*(q^3  - 12q^2  + 48q - 64) + k = -(1/4)*q^3 +  3q^2  -  12q  -16 + k

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C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH

(b) C(14) = -(1/4)*14^3 +  3*14^2  -  12*14 + 436 = -686 + 588 - 168 + 436 = $170

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