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notka56 [123]
4 years ago
8

An auto manufacturer sends cars from two plants, I and II, to dealerships A and B located in a mid-western city. Plant I has a t

otal of 74 cars to send, and plant II has 70. Dealer A needs 79 cars, and dealer B needs 65. Shipping costs are $300 per car from plant I to dealer A, $130 per car from plant I to dealer B, $180 per car from plant II to dealer A, and $160 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $29,900. How many cars should be sent from each plant to each dealer
Business
1 answer:
Elis [28]4 years ago
3 0

Answer:

Total transportation cost = 23,750

Explanation:

We can calculate how many cars should be sent from each plant to each dealer  as follows

DATA

Plant 1 cars = 74

Plant 2 cars = 70

Demand

Dealer A needs 79 cars

dealer B needs 65

Shipping costs are

$300 per car from plant I to dealer A,

$130 per car from plant I to dealer B,

$180 per car from plant II to dealer A

$160 per car from plant II to dealer B.

limit total shipping costs to exactly $29,900

Start from the cheapest

$130 per car from plant I to dealer B.

$130 x 65 = 8,450

$180 per car from plant II to dealer A

$180 x 70 = 12,600

$300 per car from plant I to dealer A,

$300 x 9 = 2700

Total transportation cost = 8,450 + 12,600 + 2700

Total transportation cost = 23,750

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Absorption costing income is $29,500 higher than variable costing.

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<u>The absorption </u>costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.

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Total contribution margin= 468,000

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Net operating income= $173,000

Difference= 202,500 - 173,000= $29,500

Absorption costing income is $29,500 higher than variable costing.

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