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beks73 [17]
2 years ago
9

Crane Company incurs the following costs to produce 8500 units of a subcomponent: Direct materials $7140 Direct labor 9605 Varia

ble overhead 10710 Fixed overhead 16200 An outside supplier has offered to sell Crane the subcomponent for $2.85 a unit. If Crane could avoid $3000 of fixed overhead by accepting the offer, net income would increase (decrease) by $230. $(740). $(5465). $6230.
Business
1 answer:
Temka [501]2 years ago
3 0

Answer: Net income would increase by $6,230

Explanation:

Cost if offer is not accepted and Crane produces inhouse;

= 7,140 + 9,605 + 10,710 + 16,200

= $43,655

Cost if Crane accepts offer;

Crane could avoid $3,000 of fixed overhead = 16,200 - 3,000 = $13,200

Purchase price = 2.85 * 8,500 units = $24,225

Total cost = 24,225 + 13,200

= $37,425

Difference = 43,655 - 37,425

= $6,230

<em>Income would increase by $6,230.</em>

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g Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Romans would like to place an orde
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Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the stores leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Columbian mild coffee beans, which are purchased from a distributor from New York City. Because Romans purchases large quantities the coffee beans may be purchased om an as need basis for the price of 10% higher than the market price the distributor pays for the beans. The current market price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Columbian Mild The composition of each coffee blend are as follows:

                                                             

Bean Regular                 DeCaf                      Blend

Brazilian Natural               75%                      40%

Columbian Mild                 25%                      60%

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Answer:

\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:

= 1.1 (0.47 BR  + 0.47 BD + 0.62 CR + 0.62 CD)

=  0.517  BR + 0.517 BD + 0.682 CR + 0.682 CD

Also; The total production cost is :

= 0.8 BR + 1.05 BD + 0.8 CR + 1.05 CD

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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