Exercise 16*For the production of tables and chairs, the furniture factory uses threetype of wood. Cost rate for each type of wood per table - is 1; 2; 5; forone chair - 1; 5; 2. Stocks of wood - 150; 600; 600. Profit from the saleof one table - 200 $, one chair - 100 $. Compose optimal productionplan that maximizes profit.

Explanation The stock of wood is 150+600+600=1350. The number of tables that would be made is…

Answered: For the production of tables and…

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 store has a $9000 monthly advertising budget. Newspaper ads cost $600 each with a limit of 30 per month, radio ads cost $30 each with a limit of 60 per month, and TV ads cost $3000 each with a limit of 20 per month. About 4000 people see each newspaper ad, 3000 hear each radio ad, and 12,000 see each TV ad. How much of each type should be used to maximize the store's exposure? Interpret the results. If the store wants to maximize exposure, it should use newspaper ads, radio ads, and TV ads. A marketing analyst is puzzled by these results. More people see each TV ad than each newspaper or radio ad, so it makes no sense to use ads in this proportion. How would you respond? O A. Disagree, and point out that TV ads actually reach the fewest people per dollar. B. Agree, and state that a mistake must have been made in the analysis. C. Disagree, and point out that the TV ads have the lowest limit per month of all the advertising mediums. D. None of the above.
Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7 hours to embellish the cape. The ‘Helen’ model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each ‘Ginny’ cape and a profit of $100 on each ‘Helen’.
UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?
school is having an sports event. each fake hair cost 10$ and sells at 13$, take away 2inches of table . each candle box cost 4$ and sells at 12$, takes 6inches of table. each golf cap cost 10$ and sells at 24$, and takes away 10 inches of the table. The table is 60inches long and 30inches wide. the total budget is 4000 dollars. How to maximize the profit.
Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit? b) Generate the Sensitivity Report for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
A company has $11,270 available per month for advertising. Newspaper ads cost $180 each and can't run more than 21 times per month. Radio ads cost $570 each and can't run more than 34 times per month at this price. Each newspaper ad reaches 7200 potential customers, and each radio ad reaches 7800 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. subject to Maximize P - 21 <34 <$11, 270 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is people

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