Answer: a) C = 0.126x + 1.5
b) C = 2.382 c) approximately 179 units
Step-by-step explanation: profit P(x), total revenue R(x) and total cost (C) are related by the formulae below.
Profit = total revenue - total cost
P(x) = R(x) - C
From the question, P(x) = 0.084x - 1.5, R(x) = 0.21x.
Question a)
C = R(x) - P(x)
C = 0.21x - {0.084x - 1.5}
C = 0.21x - 0.084x + 1.5
C = 0.126x + 1.5
Question b)
If C = 0.126x + 1.5, then C at x = 7 units is gotten below as
C = 0.126(7) + 1.5
C = 0.882 + 1.5
C = 2.382.
Question c)
The break even point is the point where total revenue R(x) equals total cost C.
R(x) = 0.21x and C = 0.126x + 1.5
0.21x = 0.126x + 1.5
0.21x - 0.126x = 1.5
0.084x = 15
x = 15/ 0.084
x = 178.57 which is approximately 179 units (since quantity of units can't be decimal)
Answer:
after 3 weeks
Step-by-step explanation:
y=8x
y=-5x
y=8*3=24+48=72
y=-5*3=-15
87-15 is 72
after 3 weeks
Answer: 1,232
Step-by-step explanation: To find 70% of 1,760, first write 70% as a decimal by moving the decimal point two places to the left to get .70.
Next, the word <em>of</em> means multiply,
so we multiply (.70)(1,760) to get 1,232.
This means that 70% of 1,760 is 1,232.
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Step-by-step explanation:
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