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Brown Company Makes Four Products in a Single Facility \quad

question 107

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Brown Company makes four 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 \quad \quad  Product \text { Product }
 A  B  C  D  Direct Materials $15.60$19.50$12.50$15.20 Direct Labour $17.60$21.00$15.40$9.40 Variable Manufacturing Overhead $4.40$5.60$8.10$5.10 Fixed Manufacturing Overhead $27.50$14.40$14.50$16.50 Unit Product Cost $65.10$60.50$50.50$46.20\begin{array}{|l|r|r|r|r|r} \hline& \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Direct Materials } & \$ 15.60 & \$ 19.50 & \$ 12.50 & \$ 15.20 \\\hline \text { Direct Labour } & \$ 17.60 & \$ 21.00 & \$ 15.40 & \$ 9.40 \\\hline \text { Variable Manufacturing Overhead } & \$ 4.40 & \$ 5.60 & \$ 8.10 & \$ 5.10 \\\hline \text { Fixed Manufacturing Overhead } & \$ 27.50 & \$ 14.40 & \underline{\$ 14.50} & \underline{\$ 16.50} \\\hline \text { Unit Product Cost } & \$ 65.10 & \$ 60.50 & \$ 50.50 & \underline{\$ 46.20} \\\hline\end{array}

Additional data concerning these products are listed below.

\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  Product \text { Product }
 Grinding Minutes per Unit  A  B  C  D  Selling Price per Unit 2.001.100.700.30 Variable Selling Cost per Unit $2.607$1.10$67.90$62.60 Monthly Demand in Units 3,000$3.10$2.80$3.50\begin{array}{l|r|r|r|r|}\hline \text { Grinding Minutes per Unit } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Selling Price per Unit } & 2.00 & 1.10 & 0.70 & 0.30 \\\hline \text { Variable Selling Cost per Unit } & \$ 2.60 & 7 \$ 1.10 & \$ 67.90 & \$ 62.60 \\\hline \text { Monthly Demand in Units } & 3,000 & \$ 3.10 & \$ 2.80 & \$ 3.50 \\\hline\end{array}


The grinding machines are potentially a constraint in the production facility. A total of 10,500 minutes are available per month on these machines. Direct labour is a variable cost in this company.
-How many minutes of grinding machine time would be required to satisfy demand for all four products?


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