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Semmy [17]
3 years ago
14

Item 12 A production department's output for the most recent month consisted of 10,500 units completed and transferred to the ne

xt stage of production and 10,500 units in ending Work in Process inventory. The units in ending Work in Process inventory were 60% complete with respect to both direct materials and conversion costs. There were 1,100 units in beginning Work in Process inventory, and they were 80% complete with respect to both direct materials and conversion costs. Calculate the equivalent units of production for the month, assuming the company uses the weighted average method.
Business
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

Total equivalent units= 16,800

Explanation:

Giving the following information:

Beginning inventory= 1,100 units 80% complete

Units produced= 10,500 units

Ending WIP= 10,500 60% complete

<u>The weighted average method blends the costs and units of the previous period with the costs and units of the current period.</u>

Beginning inventory= 0

Units completed in the period= 100%

Ending inventory WIP= units*completion

<u>In this exercise:</u>

Beginning inventory= 0

Units completed in the period= 10,500

Ending inventory WIP= 10,500*0.6

Total equivalent units= 16,800

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Bean Regular                 DeCaf                      Blend

Brazilian Natural               75%                      40%

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\mathbf{Max \ Z =  2.033 BR + 2.583 BD + 1.868 CR + 2.418 CD}

Explanation:

From the given information:

The total revenue can be illustrated as :

Total revenue = 3.6 BR +  4.4 BD + 3.6 CR + 4.4 CD

On the other hand; the total cost  of the beans is:

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Also; The total production cost is :

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The total profit  = Total revenue - Total Cost of Beans - Total Production Cost

The total profit  =  \left[\begin{array}{}3.6 BR   + 4.4 BD + 3.6 CR + 4.4 CD\\- (0.517  BR + 0.517 BD + 0.682 CR + 0.682 CD)\\-(0.8 BR + 1.05 BD + 0.8 CR + 1.05 CD)\end{array}\right]

The total profit  = 2.033 BR + 2.583 BD + 1.868 CR + 2.418 CD

Therefore the  linear programming model represents the Objective function of the total profit as:

\mathbf{Max \ Z =  2.033 BR + 2.583 BD + 1.868 CR + 2.418 CD}

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