Question

Alternative A would involve substantial fixed but relatively low variable costs: fixed costs would be $250,000 per year, and variable costs would be $500 per boat. Subcontracting would involve a cost per boat of $2,500, and expansion would require an annual fixed cost of $50,000 and a variable cost of $1,000 per boat. Question: At what level of output will location B yield its lowest total cost.

Answer 1

Answer:

From zero to 33 boats option B would be best

Explanation:

Assuming the first alternative (A)is 250,000 fixed and 500 per boat

second (B) 2,500 cost per boat

and third (C) 50,000 fixed and 1,000 cost per boat

We want' to know at which level B would be the best option

we want to know when alternative C or A have a cost of 2,500 or lower:

A:

$500 + \frac{250,000}{Q} = 2,500$

$\frac{250,000}{2,500 - 500} = Q$

Q = 125

From this point, as fixed cost will be distribute among more units, the cost will decrease meaking C better than B

C:

$1,000 + \frac{50,000}{Q} = 2,500$

$\frac{50,000}{2,500 - 1,000} = Q$

Q = 33.33

From this point, as fixed cost will be distribute among more units, the cost will decrease meaking A better than B

From zero to 33 boats option B would be the best of the three options