45) Big John’s Manufacturing currently produces its lead product on a machine that has a variable cost of
$0.32 per unit, and fixed costs of $75,000. Big John is considering purchasing a new machine that would
drop the variable cost to $.28 per unit, but has fixed costs of $150,000. What is the cross-over point
between the two machines?
46) The local convenience store makes personal sized pizzas. Currently, its process makes complete
pizzas, fully cooked, for the customer. This process has a fixed cost of $20,000, and a variable cost of $1.75
per pizza. The owner is considering a different process that can make pizzas in two ways: completely
cooked (as before), or partially cooked and then flash frozen for the customer to finish heating at home.
This alternate process has a fixed cost of $24,000, but a lower variable cost (because much less energy is
used in baking) of $1.25 per pizza.
a. What is the crossover point between the existing process and the proposed process?
b. If the owner expects to sell 9,000 pizzas, should he get the new oven?
47) A firm is about to undertake the manufacture of a product, and it is weighing the process
configuration options. There are two intermittent processes under consideration, as well as a repetitive
focus. The smaller intermittent process has fixed costs of $3,000 per month and variable costs of $10 per
unit. The larger intermittent process has fixed costs of $12,000 per month and variable costs of $2 per unit.
A repetitive focus plant has fixed costs of $50,000 per month and variable costs of $1 per unit.
a. At what output does the large intermittent process become cheaper than the small one?
b. At what output does the repetitive process become cheaper than the larger intermittent process?