42 Product mix. (N. Melumad, adapted) Pendleton Engineering makes cutting tools for metal-working operations. It makes two types of tools: R3, a regular cutting tool, and HP6, a high-precision cutting tool. R3 is manufactured on a regular machine but HP6 must be worked on both the regular machine and a high- precision machine. The following information is available: R3 HP6 $ 121 $ 180 $ 72 $ 120 $ 18 $ 42 Selling price Variable manufacturing cost per unit Variable marketing cost per unit Budgeted total fixed overhead costs Hours required to produce 1 unit on the regular machine $350,000 $550,000 1 .5 The following additional information is available: a. Pendleton faces a capacity constraint on the regular machine of 50,000 hours per year. b. Pendleton has no capacity constraint on the high-precision machine. c. Of the $550,000 budgeted fixed overhead costs of HP6, $300,000 is for lease payments for the high- precision machine. This cost is charged entirely to HP6 because Pendleton uses the machine exclu- sively to produce HP6. The leasing agreement for the high-precision machine can be cancelled at any time without penalties. d. All other fixed overhead costs cannot be changed. Required 1. What product mix--that is, how many units of R3 and HP6will maximize Pendleton's operating income? Show your calculations. nan 2. Suppose Pendleton can increase the annual capacity of the regular machine by 15,000 hours at a cost of $180,000. Should Pendleton increase the capacity of the regular machine by 15,000 machine-hours? By how much will Pendleton's operating income increase? Show your calculations. 3. Suppose that the capacity of the regular machine has been increased to 65,000 hours. Pendleton has been approached by Carter Corporation to supply 20,000 units of another cutting tool, S3, for $120 per unit. S3 is exactly like R3 except that its variable marketing costs are $15 per unit. What product mix should Pendleton choose to maximize operating income