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Bezzdna [24]
3 years ago
13

An alrcraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

the number of engines made. If
x engines are made, then the unit cost is given by the function C(x)=0.9x - 306x +36,001. What is the minimum unit cost?

Do not round your answer.
Mathematics
1 answer:
rewona [7]3 years ago
5 0

C(x) should be ;

C(x)=0.9x² - 306x +36,001

Answer:

$9991

Step-by-step explanation:

Given :

C(x)=0.9x^2 - 306x +36,001

To obtain minimum cost :

Cost is minimum when, C'(x) = 0

C'(x) = 2(0.9x) - 306 = 0

C'(x) = 1.8x - 306 = 0

1.8x - 306 = 0

1.8x = 306

x = 306 / 1.8

x = 170

Hence, put x = 170 in C(x)=0.9x²- 306x +36,001 to obtain the

C(170) = 0.9(170^2) - 306(170) + 36001

C(170) = 26010 - 52020 + 36001

= 9991

Minimum unit cost = 9991

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Answer:

2(7) = 14

Step-by-step explanation:

When there is a number in the brackets, we want to input that into our function and get the output. In other words, we simply substitute 7 for x

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Hello from MrBillDoesMath!

Answer:

Choice A,   18x - 6y = 20


Discussion:

Given line  

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Choice A:

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5 0
3 years ago
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Sommer wants to buy a new car. She currently drives a car that gets 24 miles per gallon. She is contemplating buying a car that
frozen [14]

answer

$962.50

set up equation

first, we want to find out how many gallons of gas she'll save a year

x1 = gallons for old car

x2 = gallons for new car

gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon

then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved

price saved = gallons saved * price

price saved = (x1 - x2) * 3.85

gallons with old car

to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)

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use the same process as with the old car, but with 40 miles per gallon instead

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plug in values

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price saved = (625 - 375) * 3.85

price saved = 250 * 3.85

price saved = $962.50

3 0
3 years ago
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