Formulate this as a deterministic operations research dynamic programming problem.A company must meet the following demands on time: month 1, 1 unit; month 2, 1 unit; month 3, 2 units; month 4, 2 units.It costs $4 to place an order, and a $2 per-unit holding cost is assessed against each month's ending inventory. At thebeginning of month 1, 1 unit is available. Orders are delivered instantaneously.

The problem can be formulated as a deterministic operations research dynamic programming problem as…

Answered: Formulate this as a deterministic…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A manufacturer of skis produces two models: a regular ski and a slalom ski. A set of regular skis produces a $25 profit and a set of slalom skis produces a profit of $50. The manufacturer expects a customer demand of at least 200 pairs of regular skis and at least 80 pairs of slalom skis. The maximum number of pairs of skis that can be produced by this
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing. The profit per roll of Grade X carpet is $200, and the profit per roll of Grade Y carpet is $160. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility). The company has 1500 units of foam backing available for use. What are the binding constraints of the feasible region of the optimal solution? Constraint 2 only Constraint 1 only…
Succulent Citrus produces orange juice and orange concentrate. This year the company anticipates a demand of at least 12,000 quarts of orange juice and 1,500 quarts of orange concentrate. Each quart of orange juice requires 10 oranges, and each quart of concentrate requires 50 oranges. The company also anticipates using at least 270,000 oranges for these products. Each quart of orange juice costs the company 50¢ to produce, and each quart of concentrate costs $2.00 to produce. How many quarts of each product should Succulent Citrus produce to meet the demand and minimize total costs? orange juice qt qt orange concentrate
A dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to include exactly 340 units of calcium, 180 units of iron, and 400 units of vitamin A The number of units per ounce of each special ingredient for each of the foods is indicated in the table. Construct a Units per Ounce Food A Food B Food C Calcium 30 10 20 Iron 10 10 20 Vitamin A mathematical model to complete parts (A) through (C) below. Use Gauss-Jordan elimination to solve the model and then interpret the solution. 30 30 Construct a mathematical model for this situation. Let the first, second, and third equations represent calcium, iron, and vitamin A, respectively. Let x, represent the number of ounces of food A, x, represent tine number of ounces of food B, and x, represent the number of ounces of food C. - 2 * 3 = X, + X, + %3D (Type integers or decimais.) 20
Need only a handwritten solution only (not a typed one).
consider the production scheduling problem of the perfume polly named after a famous celebrity. the manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in january, february, march, and april, respectively. at the beginning of the year the company has an inventory of 2000 gallons. the company is planning on issuing a new and improved perfume called pollygone in may, so that all polly produced must be sold by the end of april. assume that the production cost for january and february is $5 per gallon and this will rise to $5.5 per gallon in march and april. the company can hold any amount produced in a certain month over to the next month at an inventory cost of $1 per unit. formulate a linear optimization model that will minimize the costs incurred in meeting the demand for polly in the period january through april. assume for simplicity that any amount produced in a given month may be used…
Hoosier Power needs to determine a capacity expansion plan to meet Bloomington’s power needs for thenext 20 years. The current capacity is 5000 kwh. The demand for the current year is 4000 kwh, and demand is expected to increase by 1000 kwh in each succeeding year. At the beginning of each year, Hoosier Power must determine the amount of capacity to add, given the following inputs: ■ Any year in which capacity is added, a fixed cost of $120,000 is incurred plus a cost of $120 per kwh of capacity. ■ At most 10,000 kwh of capacity can be added in a single year. ■ It costs $25 per year to maintain a unit of capacity. ■ It costs $12 per year to produce a kwh. ■ If production does not meet demand, a shortage cost of $80 per kwh short is incurred. Develop a linear integer model to help Hoosier Power minimize its costs for the next 20 years.
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