Answer:
Cost function C(x) == FC + VC*Q
Revenue function R(x) = Px * Q
Profit function P(x) =(Px * Q)-(FC + VC*Q)
P(12000) = -38000 Loss
P(23000) = 28000 profit
Step-by-step explanation:
Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.
(a)Cost function
C(x) = FC + vc*Q
Where
FC=Fixed cost
VC=Variable cost
Q=produce quantity
(b)
Revenue function
R(x) = Px * Q
Where
Px= Sales Price
Q=produce quantity
(c) Profit function
Profit = Revenue- Total cost
P(x) =(Px * Q)-(FC + vc*Q)
(d) We have to replace in the profit function
<u>at 12,000 units </u>
P(12000) =($20 * 12,000)-($110,000 + $14*12,000)
P(12000) = -38000
<u>at 23,000 units </u>
P(x) =($20 * 23,000)-($110,000 + $14*23,000)
P(23000) = 28000
1) 3/4 - 1/2 = 3/4 - 2/4 = 1/4. Vanessa's brothers ate half of the cake.
2) 1.75 + 2.4 = 4.15. 6.5 - 4.15 = 2.35. 4.15 = 2.35 = 1.8. Chad hiked 1.8 ore miles in the morning than in the afternoon.
Which ones do you need help on?
Let w and l be the length and height of the rectangle.
We know that:
Substitute the first equation in the second:
Use the first equation to compute the length:
So, length = 7 cm; width = 6 cm