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Glocker Company Makes Three Products in a Single Facility \quad

question 54

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Glocker Company makes three products in a single facility.These products have the following unit product costs:

\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  Products \text { Products }
ABC Direct materials $10.90$15.80$8.00 Direct labour 12.5012.609.90 Variable manufacturing overhead 2.401.201.40 Fixed manufacturing overhead 11.607.207.80 Unit product cost $37.40$36.80$27.10\begin{array}{lrrr}&A&B&C\\\text { Direct materials } & \$ 10.90 & \$ 15.80 & \$ 8.00 \\\text { Direct labour } & 12.50 & 12.60 & 9.90 \\\text { Variable manufacturing overhead } & 2.40 & 1.20 & 1.40 \\\text { Fixed manufacturing overhead } & 11.60 & 7.20 & \underline{7.80}\\\text { Unit product cost }&\$ 37.40 & \$ 36.80 & \$ 27.10\end{array} Additional data concerning these products are listed below.  Products  A  B  C  Mixing minutes per unit 2.001.000.50 Selling price per unit $55.80$54.60$43.10 Variable selling cost per unit $2.10$1.40$1.90 Monthly demand in units 2,0001,0003,000\begin{array}{lccc}& & { \text { Products } } \\& \text { A } & \text { B } & \text { C } \\\text { Mixing minutes per unit } & 2.00 & 1.00 & 0.50 \\\text { Selling price per unit } & \$ 55.80 & \$ 54.60 & \$ 43.10 \\\text { Variable selling cost per unit } & \$ 2.10 & \$ 1.40 & \$ 1.90 \\\text { Monthly demand in units } & 2,000 & 1,000 & 3,000\end{array}

The mixing machines are potentially a constraint in the production facility. A total of 5,900 minutes are available per month on these machines.

Direct labour is a variable cost in this company.

Required:

a) How many minutes of mixing machine time would be required to satisfy demand for all four products?
b) How much of each product should be produced, rounded to the nearest whole unit, to maximize operating income
c) Up to how much should the company be willing to pay, rounded to the nearest whole cent, for one additional minute of mixing machine time if the company has made the best use of the existing mixing machine capacity?


Definitions:

Voluntary Phase

The initial stage of swallowing controlled consciously, where food is pushed by the tongue into the throat.

Peristalsis

Wave-like muscle movements that transport food through the digestive tract.

Pyloric Sphincter

The ring of muscle that regulates the passage of food from the stomach to the duodenum of the small intestine.

Gastric Ulcer

A sore on the lining of the stomach or duodenum often caused by infection, medication, or chronic stomach acid irritation.

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