In order to produce a new product, a firm must lease new equipment. the managers feel that they can sell 10,000 units per year at a price of $7.50. if the variable cost of production is $5.00 per unit, what is the most the firm can spend to lease the new equipment without losing money?

The most the firm can spend to lease the new equipment without losing money=$75,000

Explanation:

The point at which the revenue in terms of sales equals the cost is the break-even point. This can be expressed as;

R=C

where;

R=revenue from sales

C=cost

And;

R=P×N

where;

R=revenue from sales

P=price per unit

N=number of units

In our case;

P=$7.5 per unit

N=10,000 units

replacing;

R=7.5×10,000=$75,000

Total revenue from sales=$75,000

C=p×n

where;

p=cost per unit

n=number of units

In our case;

p=$5

n=unknown

replacing;

C=5×n=5 n

At break-even point, R=C;

5 n=75,000

n=75,000/5=15,000

The break-even cost=5×15,000=$75,000

The most the firm can spend to lease the new equipment without losing money=$75,000

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