MAT 119 - Finite Mathematics, Fall 2017 Homework: M1HW7: Section 3.3 Save Score:
ID: 2591213 • Letter: M
Question
MAT 119 - Finite Mathematics, Fall 2017 Homework: M1HW7: Section 3.3 Save Score: O of 1 pt 4 of 6 (5 complete) HW Score: 50%, 3 of 6 pts X) Bus Econ 3.3.7 Question Help A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines and plant II needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant Il gives similar $10 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints? The number of engines to send to plant is The number of engines to send to plant 11 is Enter your answer in the edit fields and then click Check AnswerExplanation / Answer
The number of engines to send to Plant I is 59 engines.
The number of engines to send to Plant II is 32 engines.
Explanation:
As the shipping cost is high in Plant II and also it given the minimum rebate, we would be sending them only the minimum quantity. And we sell remaining quantity of the engine to Plant I subject to a maximum credit of $1,180 i.e. ($1,500 - $320).
Minimum Shipping Cost = (59 x $30) + (32 x $40)
.......................................= $1,770 + $1,280
.......................................= $3,050
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