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cluponka [151]
3 years ago
11

where x1 and x2 represent number of units of production of basic and advanced iPods, respectively. Production time required for

the basic iPod is 6 hours per unit, and production time required for the advanced iPod is 8 hours per unit. Currently, 60 hours are available. The cost of hours is already factored into the profit function. Formulate an optimization problem that can be used to find the optimal production quantity of basic and advanced iPods. Solve the optimization model you formulated, what is the optimal value of the objective function? Round your answer to one decimal place.
Business
1 answer:
IrinaVladis [17]3 years ago
4 0

The number of basic units is 3 and the number of advanced unit is 4.

Explanation:

Optimization function is a real valued function that is either minimized or maximized relative to the given set of feasible variables. Therefore if our maximum value for the production of both types of Ipod is 50 hours and if it takes 6 hours to produce basic Ipod and 8 hours to produce advanced Ipod than optimization model is expressed as 6*x + 8* y = 50. From this we have a set of possible solutions.

If x =0 than y =6, 2 it is not possible since it is not the natural number.

If y =0 than x =3, 57, it is not a natural number.

The only solution that satisfy the above condition is when x =3 and y = 4.

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Explanation:

From the question, we are told that a company wants to determine its reorder point (R) and that demand is variable and they want to build a safety stock into R. We have also been given the information that the company wants to have a service level of 95 percent and that average daily demand is 8, lead time is 3 days and the standard deviation of demand during lead time is 2.

It should be noted that a service level of 95% will have a desired z score of 1.64. To get the desired value of R, we multiply the average daily demand by the number of the days in lead time and then add to the multiplication between the standard deviation during the lead time and the desired z score. Mathematically, this will be expressed as:

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8 0
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Answer:

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Vera_Pavlovna [14]

Answer:

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