Question

If fixed costs are 100, and variable costs are at 5 per unit, find the total cost when Q=10.

Answer 1

The total cost when Q = 10 is $150

Step-by-step explanation:

Th equation y = mx + b represents any linear function, where

• m is the unit rate
• b is the fixed amount

∵ The fixed costs are $100

∵ The variable costs are $5 per unit

∵ There are Q units

- Represent the total cost by the function c(Q)

∴ c(Q) = 5 Q + 100, where c(Q) is the total cost of Q units

∵ c(Q) = 5 Q + 100

∵ Q = 10

- Substitute Q by 10

∴ c(10) = 5(10) + 100

∴ c(10) = 50 + 100

∴ c(10) = 150

The total cost when Q = 10 is $150

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