Integrative Case $11-79($Static$)$ Effect of Cost Allocation on Pricing and Make$-$versus$-$Buy Decisions $($LO $11-3,4)$

Ag$-$Coop is a large farm cooperative with a number of agriculture$-$related manufacturing and service divisions. As a cooperative, it pays no federal income taxes. The company owns a fertilizer plant that processes and mixes petrochemical compounds into three brands of agricultural fertilizer: greenup, maintane, and winterizer. The three brands differ with respect to selling price and the proportional content of basic chemicals.

Ag$-$Coop$$s Fertilizer Manufacturing Division transfers the completed product to the cooperative$$s Retail Sales Division at a price based on the cost of each type of fertilizer plus a markup.

The Manufacturing Division is completely automated so that the only costs it incurs are the costs of the petrochemical feedstocks plus overhead that is considered fixed. The primary feedstock costs $$1\mathrm{.}50$ per pound. Each $100$ pounds of feedstock can produce either of the following mixtures of fertilizer:

Output Schedules $($in pounds$)$

A B

Greenup $5060$

Maintane $3010$

Winterizer $2030$

Production is limited to the $750,000$ kilowatt$-$hours monthly capacity of the dehydrator. Due to different chemical makeup, each brand of fertilizer requires different dehydrator use. Dehydrator usage in kilowatt$-$hours per pound of product follows:

Product Kilowatt$-$Hour Usage per Pound

Greenup $32$

Maintane $20$

Winterizer $40$

Monthly fixed costs are $$81,250.$ The company currently is producing according to output schedule A$.$ Joint production costs including fixed overhead are allocated to each product on the basis of weight.

The fertilizer is packed into $100-$pound bags for sale in the cooperative$$s retail stores. The sales price for each product charged by the cooperative$$s Retail Sales Division follows:

Sales Price per Pound

Greenup $ $10\mathrm{.}50$

Maintane $9\mathrm{.}00$

Winterizer $10\mathrm{.}40$

Selling expenses are $20$ percent of the sales price.

The Retail Sales Division manager has complained that the prices charged by the Manufacturing Division are excessive and that he would prefer to purchase from another supplier.

The Manufacturing Division manager argues that the processing mix was determined based on a careful analysis of the costs of each product compared to the prices charged by the Retail Sales Division.

Required:

Assume that joint production costs including fixed overhead are allocated to each product on the basis of weight. What is the cost per pound of each product, including fixed overhead and the feedstock cost of $$1\mathrm{.}50$ per pound, given the current production schedule?

Assume that joint production costs including fixed overhead are allocated to each product on the basis of net realizable value if sold through the cooperative$$s Retail Sales Division. What is the allocated cost per pound of each product, given the current production schedule?

Assume that joint production costs including fixed overhead are allocated to each product on the basis of weight. Calculate the operating profit under both Schedule A and Schedule B$.$ Which of the two production schedules, A or B$,$ produces the higher operating profit to the firm as a whole?