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Problem 5 (10 Points) Lorraine manufactures a single product with the following

ID: 2525319 • Letter: P

Question

Problem 5 (10 Points)

      Lorraine manufactures a single product with the following full unit costs for 3,000 units:

Direct materials

$80

Direct labor

40

Manufacturing overhead (40% variable)

120

Selling expenses (60% variable)

40

Administrative expenses (10% variable)

    20

Total per unit

$300

A company recently approached Lorraine with a special order to purchase 500 units for $300. Lorraine currently sells the models to dealers for $550. Capacity is sufficient to produce the extra 1,000 units. No selling expenses would be incurred on the special order.

Required:

a. Ignoring the special order, determine Lorraine’s profit on production and sales of 3,200 units. Ignore taxes in these analyses.

b. Should Lorraine accept the special order if its goal is to maximize short-run profits? Determine the impact on profit of accepting the order.

c.    Determine the minimum price Lorraine would want, to increase before tax profits by $80,000 on the special order.

d. When making a special order decision, what non-quantitative (qualitative) aspects of the decision should Lorraine consider?

Enter your answer in the following space.

Direct materials

$80

Direct labor

40

Manufacturing overhead (40% variable)

120

Selling expenses (60% variable)

40

Administrative expenses (10% variable)

    20

Total per unit

$300

Explanation / Answer

a.

Computation of Variable and Fixed Cost per Unit

Particulars

Total

Variable

Fixed

Direct materials

$            80.00

$            80.00

$           -  

Direct labor

$            40.00

$            40.00

$           -  

Manufacturing overhead (40% variable)

$          120.00

$            48.00

$    72.00

Selling expenses (60% variable)

$            40.00

$            24.00

$    16.00

Administrative expenses (10% variable)

$            20.00

$               2.00

$    18.00

Total per unit

$          300.00

$          194.00

$ 106.00

Computation of Fixed Cost

Unit Sold

                3,000

for 3,000 units

Manufacturing Overhead

$            72.00

$        216,000

Selling Expenses

$            16.00

$          48,000

Administrative Expenses

$            18.00

$          54,000

Total Fixed Cost per Unit

$          106.00

$        318,000

Total Fixed Cost

$ 318,000.00

Particulars

Normal Order

Sales units

                    3,200

Selling Price

                       550

Less: Variable Cost

Direct materials

$                80.00

Direct labor

$                40.00

Manufacturing Overhead

$                48.00

Selling Expenses

$                24.00

Administrative Expenses

$                   2.00

Total variable Cost

$              194.00

Contribution per Unit

$              356.00

Total Contribution

$ 1,139,200.00

Less: Fixed Cost

Manufacturing Overhead

$            216,000

Selling Expenses

$              48,000

Administrative Expenses

$              54,000

Total Fixed Cost

$            318,000

Profit

$      821,200.00

b.

Particulars

Special order

Sales units

500

Selling Price

$          300.00

Less: Variable Cost

Direct materials

$            80.00

Direct labor

$            40.00

Manufacturing Overhead

$            48.00

Selling Expenses

Administrative Expenses

$               2.00

Total variable Cost

$          170.00

Contribution per Unit

$          130.00

Total Contribution

$    65,000.00

c.

let x be selling price

Variable Cost + Profit = Sales

170 x 500 +$80,000 = 500 x

$85,000 +$80,000 =500 x

$165,000= 500 x

X= $165,000/500

X=$330 is the minimum price

d.

When making a special order decision, Lorraine will consider only variable cost.

Computation of Variable and Fixed Cost per Unit

Particulars

Total

Variable

Fixed

Direct materials

$            80.00

$            80.00

$           -  

Direct labor

$            40.00

$            40.00

$           -  

Manufacturing overhead (40% variable)

$          120.00

$            48.00

$    72.00

Selling expenses (60% variable)

$            40.00

$            24.00

$    16.00

Administrative expenses (10% variable)

$            20.00

$               2.00

$    18.00

Total per unit

$          300.00

$          194.00

$ 106.00

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