A: Which station is the bottleneck? The bottleneck is _______, with a total load of _____ minutes for the next month. B: Using the traditional method, which bases decisions solely on a product's contribution to profits and overhead, what is the optimal product mix and what is the overall profitability? Next, order the products from highest contribution margin to the lowest. The obtained sequence is asfollows: C: Using the bottleneck-based method, what is the optimal product mix and what is the overall profitability?
Q: 6
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A: Finite loading: This method uses estimated capacity to set a limit up-to which work will be…
Q: Which operation is the bottleneck?
A: The bottleneck is a point at the production process where congestion occurs and limited capacity it…
A: Which station is the bottleneck? The bottleneck is _______, with a total load of _____ minutes for the next month.
B: Using the traditional method, which bases decisions solely on a product's contribution to profits and overhead, what is the optimal product mix and what is the overall profitability?
Next, order the products from highest contribution margin to the lowest. The obtained sequence is asfollows:
C: Using the bottleneck-based method, what is the optimal product mix and what is the overall profitability?
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- The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal, and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the…Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal, and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) I understand…The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) Minimize the under and…
- The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the under…Weenies and Buns is a food processing plant which manufactures hot dogs and hot dog buns. They grind their own flour forthe hot dog buns at a maximum rate of 200 pounds per week. Eachhot dog bun requires 0.1 pound of flour. They currently have a contract with Pigland, Inc., which specifies that a delivery of 800pounds of pork product is delivered every Monday. Each hot dogrequires pound of pork product. All the other ingredients in thehot dogs and hot dog buns are in plentiful supply. Finally, the laborforce at Weenies and Buns consists of 5 employees working fulltime (40 hours per week each). Each hot dog requires 3 minutes oflabor, and each hot dog bun requires 2 minutes of labor. Each hotdog yields a profit of $0.80, and each bun yields a profit of $0.30.Weenies and Buns would like to know how many hot dogsand how many hot dog buns they should produce each week so asto achieve the highest possible profit.(a) Formulate a linear programming model for this problem.D,I (b) Use the…Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.
- Zucchero Sugar, Inc. has six processing departments for refining sugar—Affination, Carbonation, Decolorization, Boiling, Recovery, and Packaging. Conversion costs are added evenly throughout each process. Data from the month of August for the Recovery Department are as follows: Metric Tons Beginning Work−in−Process Inventory 0 Transferred in 22,000 Ending Work−in−Process Inventory 6,000 Costs Beginning Work−in−Process Inventory $0 Costs added during August : Direct materials 530,000 Direct labor 250,000 Manufacturing overhead 105,000 Total costs added during August $885,000 The ending Work−in−Process Inventory is 100% and 95% complete with respect to direct materials and conversion costs, respectively. The weighted−average method is used. How many metric tons of sugar were refined and transferred to the Packaging Department in August? A. 6,000 metric tons B.…Polly Astaire makes fine clothing for big and tall men. A fewyears ago Astaire entered the sportswear market with theSunset line of shorts, pants, and shirts. Management wants tomake the amount of each product that will maximize profits.Each type of clothing is routed through two departments, Aand B. The relevant data for each product are as follows: Department A has 120 hours of capacity, department B has160 hours of capacity, and 90 yards of material are available.Each shirt contributes $10 to profits and overhead; each pairof shorts, $10; and each pair of pants, $23.a. Specify the objective function and constraints for thisproblem.b. Use a computer package such as POM for Windows tosolve the problem.c. How much should Astaire be willing to pay for an extrahour of department A capacity? How much for an extrahour of department B capacity? For what range of right-hand values are these shadow prices valid?A wood products firm uses leftover time at the end of each week to make goods for stock. Currently, there are two products on the list of items that are produced for stock: a chopping board and a knife holder. Both items require three operations: cutting, gluing, and finishing. The manager of the firm has collected the following data on these products: The manager has also determined that during each week 120 minutes are available for cutting, 650 minutes are available for gluing, and 360 minutes are available for finishing. Formulate Linear Programming (L.P) Model for above problem?
- The daily production process at a soda bottling company produces regular orange-flavored (x1 ), regular lemon-flavored(x2), diet orange-flavored (x3 ), and diet lemon-flavored (x4)drinks. The company operates 18 hours (1,080 minutes) per day and uses two types of syrups with daily available inventories of 260 and 220 gallons for syrup types 1 and 2, respectively. The demand for the two orange-flavored drinks combined is no more than 250 bottles and the two lemon-flavored drinks have a combined daily demand of at least 300 bottles. The company wishes to choose the production level for each type of drink in order to maximize its total profit. production time (minutes) Syrup 1 (gallons) Syrup 2 (gallons) profit unit Regular orange drink 1.2 0.30 0.10 $1.20 regular lemon drink 1 0.25 0.25 $1.50 diet orange drink 1.4 0.25 0.20 $1.80 diet lemon drink 2 0.40 0.30 $2.00A furniture company manufactures chairs and desks. The sawing department cuts the lumber for both products, which is then sent to separate assembly departments. Assembled items are sent to the painting department for finishing. The daily capacity of the sawing department is 200 chairs or 80 desks. The chair assembly department can produce 120 chairs daily, and the desk assembly department 60 desks daily. The paint department has a daily capacity of either 150 chairs or 100 desks. Given that the profit per chair is $50 and that of a desk is $100. Formulate the problem as a linear program to determine the optimal product mix for the company.A plant has sufficient capacity to manufacture any combination of four different products (A, B, C, D). For each product, time is required to be invested in four different machines, which is expressed in hours per kilogram of product, as shown in the following table as shown in the following table: (attached image) Each machine has an availability of 60 hours per week. Products A, B, C and D can be sold at $9, $7, $6 and $5per kilo, respectively. Variable labor costs are $2 per hour for machines 1 and 2, and $3 per hour for machines 3 and 4. The material costs for each kilogram of product A are $4. The material costs for each kilogram of products B, C, D and D are $4 each kilogram of products B, C and D are $1. What needs to be done:Formulate a profit-maximizing PL model given the maximum demand per product shown in the table (there are 16 variables). Note: The picture is in spanish, but I mean... is pretty easy to understand