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
$5 → 1/3 pound
$1 → 1/3 ÷ 5 = 1/3 x 1/5 = 1/15 pound
$9 → 1/15 pound x 9 = 9/15 pound = 3/5 pound
Answer:In order to specify a line completely, all you need is
Step-by-step explanation:
co-ordinates of any one of the points it passes through (say, (x1,y1) ), and
its inclination (slope = m).
Its equation, by virtue of the definition of the slope then becomes,
y−y1x−x1=m
Whence, for our case,
y−2x+6=−12
which simplifies to
x+2y+2=0
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