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Ira Lisetskai [31]
2 years ago
9

Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat an

d frame unit, and rear wheels. The company has orders for 12,000 of these tricycles. Current schedules yield the following information.
Requirements Component Time Space Manufacture Production
Front 3 10 2 $8 $12
Seat/Frame 4 6 2 6 9
Rear Wheel (each) 0.5 2 0.1 1 3
Available 50,000 160,000 30,000

The company obviously does not have the resources available to manufacture everything needed for the completion of 12000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 12000 fully completed tricycles at the minimum cost.
Business
1 answer:
Harrizon [31]2 years ago
7 0

Answer:

LetFM = number of fronts madeSM = number of seats madeWM = number of wheels madeFP = number of fronts purchasedSP = number of seats purchasedWP = number of wheels purchasedMin8FM + 6SM + 1WM + 12FP + 9SP + 3WPs.t.3FM + 4SM + .5WM 5000010FM + 6SM + 2WM 1600002FM + 2SM + .1WM 30000FM + FP 12000SM + SP 12000WM + WP 24000FM, SM, WM, FP, SP, WP 0

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Multiple Versus Single Overhead Rates, Activity Drivers Deoro Company has identified the following overhead activities, costs, a
WINSTONCH [101]

Answer:

Deoro Company

1. Unit cost using direct labor hours to apply overhead:

Unit Cost

Model A $167.985

Model B $226.99

2. Unit cost using the four activity drivers:

Unit Cost

Model A $133.97  

Model B $287.28

3. Activity-based costing method always produces the more accurate cost assignment.

Explanation:

a) Data and Calculations:

Activity                    Expected Cost      Activity Driver    Activity Capacity

Setting up equipment   $548,080       Number of setups          680

Ordering costs                 313,200        Number of orders     17,400

Machine costs                 939,400        Machine hours         42,700

Receiving                         343,000        Receiving hours         9,800

Total overhead costs $2,142,680

Activity Rates:

Setting up equipment   $806 per setup ($548,080/680)

Ordering costs              $18 per order ($313,200/17,400)

Machine costs              $22 per machine hour ($939,400/42,700)

Receiving                     $35 per receiving hour ($343,000/9,800)

                                    Model A            Model B

Direct materials        $600,000          $800,000

Direct labor               $480,000          $480,000

Overhead applied  $1,063,500        $1,018,200

Total costs              $2,143,500      $2,298,200

Units completed            16,000               8,000

Cost per unit                $133.97         $287.275

Direct labor hours          6,000               2,000

Number of setups             400                  200

Number of orders          6,000             12,000

Machine hours             24,000             18,000

Receiving hours             3,000               7,000

The company's normal activity is 8,000 direct labor hours.

Assignment of overhead costs:

                                        Model A                               Model B

Number of setups         $322,500 (400 * $806)    $161,200 (200 * $806)

Number of orders            108,000 (6,000 * $18)      216,000 (12,000 * $18)

Machine hours                528,000 (24,000 * $22)  396,000 (18,000 * $22)

Receiving hours               105,000 (3,000 * $35)    245,000 (7,000 * $35)

Total overhead applied $1,063,500                    $1,018,200

Overhead based on direct labor hours:

Total overhead costs = $2,143,680

Total direct labor hours = 8,000 (6,000 + 2,000)

Overhead rate per DLH = $267.96

Allocation of overhead:

                                    Model A                           Model B

Direct labor hours          6,000                            2,000

Overhead (DLH) $1,607,760 ($267.96 *6,000) $535,920 ($267.96  * 2,000)

                                    Model A            Model B

Direct materials        $600,000          $800,000

Direct labor               $480,000          $480,000

Overhead applied  $1,607,760          $535,920

Total costs             $2,687,760        $1,815,920

Units completed           16,000                8,000

Cost per unit            $167.985            $226.99

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Answer:

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Explanation:

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Variable costs $200,000

Fixed costs $140,000.

None of the fixed costs are avoidable. Therefore, they shouldn't be taken into account to make the decision.

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Answer:

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