-5.71 points waneAC6 1.2018. The cost of renting tuxes for the Choral Soclety s

Question

-5.71 points waneAC6 1.2018. The cost of renting tuxes for the Choral Soclety s formal is $24 down, plus $84 per tux. Express the cost C as a function of x, the number of tuxedos rented E(x) = Use your function to answer the following questions (a) What is the cost of renting 2 tuxes? (b) What is the cost of the 2nd tux? c)What is the cost of the 4,098th tux? d)What is the variable cost? What is the fixod cost What is the marginal ost? e) Graph C as a function of x L00 250 1.5 2253 -50 150 -LOU -150 IUO -250 -300 0.5 2 2.5 300 250 50 200 0.5 15225 3 50 150 -100 -150 50 -250 O-300 0.5 15 253

Explanation / Answer

24 dollars downpayment
and 84 dollars per tux

C = 24 + 84*x

C = 84x + 24 ----> ANS

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a)
84(2) + 24

168 + 24

192 dollars

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b)
Cost of second tux :
Cost of first tux = 84 + 24 = 108
Cost of 2 tuxes = 192
So, second tux would cost : 192 - 108 --> 84

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c)
Same reason as above...
84 ---> ANS

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d)
Variable cost :
84x

Fixed cost :
24 dollars

Marginal :
Deriving, we get :
C'= 84
So, marginal cost is : 84

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e)
We need to graph C = 84x +24
which would be :

Option C

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