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Sunny_sXe [5.5K]
3 years ago
10

A car manufacturing firm wishes to introduce a new line of tires into its product range. It costs them $50,000 to introduce the

new line, and $1.20 per tire. If they have a budget of $300,000 to introduce the new line, how many tires can they make? Give your answer to the nearest thousand.
Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

208333 tires can be made with a budget of $ 300000.

Step-by-step explanation:

The total budget (C), in monetary units, is the sum of fixed costs (cost of introducing the new line) (C_{o}), in monetary units, and variable costs (cost of producing tires) (C_{v}), in monetary units:

C = C_{o} + C_{v} (1)

If we know that C = \$\,300000 and C_{o} = \$\,50000, then variable costs are:

C_{v} = C-C_{o}

C_{v} = \$\,300000 -\$\,50000

C_{v} = \$\,250000

And the variable cost can be defined by the following formula:

C_{v} = r\cdot n (2)

Where:

r - Production cost of a tire, in monetary units per tire.

n - Amount of produced tires, in tires.

If we know that C_{v} = \$\,250000 and r = \$\,1.20\,\frac{1}{tire}, then the amount of produced tires:

n = \frac{C_{v}}{r}

n = \frac{\$\,250000}{\$\,1.20\,\frac{1}{tire} }

n = 208333\,tires

208333 tires can be made with a budget of $ 300000.

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