A manufacturing firm is considering three alternatives for producing a new product. The revenue is $10 per unit. Alternative A has a monthly fixed cost of $1,300 and a variable cost of $7 per unit. Alternative B has a monthly fixed cost of $2,300 and the variable cost is $5 per unit. Alternative C has a monthly fixed cost of $6,300 and the variable cost is $2 per unit.
a) What output level produces an annual profit of $90,000 with alternative C?
b) Determine the range of output over which alternative A is profitable.
c) Determine the range of output over which alternative A is best and is profitable.