Canine LLC makes two types of dog food: Formula S and Formula X. They use linear programming model to determine the optimum mix of dog food to produce. The model they use is given below: Maximize: 50S + 60X Subject to these constraints: 8S + 10X ≤ 800 S + X ≤ 120 4S + 5X ≤ 500 S, D ≥ 0 Based on the information given above, the maximum value of the confectioner's linear programming is $_______.
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Canine LLC makes two types of dog food: Formula S and Formula X. They use linear programming model to determine the optimum mix of dog food to produce. The model they use is given below:
Maximize: 50S + 60X
Subject to these constraints:
8S + 10X ≤ 800
S + X ≤ 120
4S + 5X ≤ 500
S, D ≥ 0
Based on the information given above, the maximum value of the confectioner's linear programming is $_______.
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- Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
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- Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.) A boat company manufactures aluminum dinghies and rowboats. The hours of metal work and painting needed for each are shown in the table, together with the hours of skilled labor available for each task. How many of each kind of boat can the company manufacture? (hours) Dinghy Rowboat Labor Available Metal Work 2 3 108 Painting 2 2 90 (labor for metal work) (labor for painting) x ≥ 0, y ≥ 0Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.Company XYZ is a farming company. The company are famous for producing strawberries and blueberries. The variable cost of producing and selling one box of strawberries is $3, while the variable cost of producing and selling one box blueberries is $5. Each box of strawberries is selling for $10, while a box of blueberries sells for $13. The company produces and sells 5 boxes of strawberries for every 2 boxes of blueberries. Assuming a fixed cost of ?$204,000. How many boxes of blueberries need to be produced and sold to achieve breakeven 20,000 a O 8,000 b O 1,600 .c O None of the given answers d O 4,000 .e O