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valentina_108 [34]

4 years ago

6

If it takes 5 workers 4 hours to build a 10 foot wall, and the number of hours is directly proportional to the number of walls t

hey build, how many 10 foot walls could they build if they worked 40 hours?

1 answer:

pychu [463]4 years ago

4 0

4x10=40 10x10=100 ft/10 100/10=10 walls

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Answer:

a) $109

b) $P(q) = \frac{45q}{ln(q)} +90$

c) $$11.20$

Step-by-step explanation:

a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:

$C(q) = 109q+90\\C(q) = \$109$

b) Profit is given by Revenue minus Cost:

$P(q) = R(q) - C(q)\\P(q) = \frac{45q}{ln(q)} +90$

c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:

$M = P(9)-P(8)\\M= \frac{45*9}{ln(q)} +90 - (\frac{45*8}{ln(8)}+90 )\\M=\$11.20$

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