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