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Nonamiya [84]
3 years ago
8

Right the slope intercept of the equation of the line through the given point with the given slope through (2, 1) slope = 5/2 m=

b= equation:_____________
Mathematics
1 answer:
solmaris [256]3 years ago
6 0
M = 5/2
B = -4
Y - 1 = 5/2(x - 2)
Y - 1 = 5/2x - 5
+1. +1
Y = 5/2x - 4

(I think)
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Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

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P(x) = 374x - 2x² - 18x - 11610

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P(x) = - 2x² + 356x - 11610

At the break even point,

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2x² + 18x - 374x + 11610 = 0

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Dividing through by 2, it becomes

x² - 178x + 5805 = 0

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x = [- b ±√(b² - 4ac)]/2a

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x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

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