Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of Super-Fit takes 18 minutes to cut and 15 minutes to sew and finish. Each pair of Super-Hug takes 18 minutes tocut and 30 minutes to sew and finish. The plant has enough workers to provide at most 15,299 minutes perday for cutting and at most 20,999 minutes per day for sewing and finishing. The profit on each pair ofSuper-Fit is $4.50 and the profit on each pair of Super-Hug is $6.50. How many pairs of each style should beproduced per day to obtain maximum profit? Find the maximum daily profit.(Use x for Super-Fit and y for Super-Hug.)Maximize P =<15, 29920, 999Maximum profit is $subject toEnter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. Ifmore than one solution exists, enter only one of the multiple solutions below. If needed round jeans to 1decimal place and profit to 2 decimal places.Number of Super-Fit jeans to manufacture to maximize profit isNumber of Super-Hug jeans to manufacture to maximize profit is

Given: The factory makes two styles of jeans: Super-Fit and Super-Hug. It takes 18 minutes to cut…

Answered: Sweet-Fit jeans has a factory that…

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 Company manufactures two types of widgets regular and deluxe. Each widget is produced at a station consisting of a machine and a person who finishes the widgets by hand. The regular widget requires 2 hr of machine time and 1 hr of finishing time. The deluxe widget requires 3 hr of machine time and 5 hr of finishing time. The profit on the regular widget is $25; on the deluxe widget it is $30. If the workday is 8 hours, how many of each type of widget would be produced at each station per day in order to maximize the profit?
Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $1.75, and the profit for each model B grate is $1.25. Available for grate production each day are 1000 pounds of cast iron and 20 labor-hours. Because of an excess inventory of model A grates, management has decided to limit the production of model A grates to no more than 180 grates per day. Maximize P = 1.75x + 1.25y subject to 3x + 4y ≤ 1000 Resource 1 6x + 3y ≤ 1200 Resource 2 x ≤ 180 Resource 3 y ≥ 0 x ≥ 0 (a) Find the shadow price for Resource 2. (Round your answer to the nearest cent.)$ (b) Identify the binding and nonbinding constraints. constraint 1 constraint 2 constraint 3
Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2.00, and the profit for each model B grate is $1.50. Available for grate production each day are 1000 pounds of cast iron and 20 labor-hours. Because of an excess inventory of model A grates, management has decided to limit the production of model A grates to no more than 180 grates per day. Maximize P = 2x + 1.5y subject to 3x + 4y ≤ 1000 Resource 1 6x + 3y ≤ 1200 Resource 2 x ≤ 180 Resource 3 y ≥ 0 x ≥ 0 (a) Find the shadow price for Resource 2. (Round your answer to the nearest cent.)$ (b) Identify the binding and nonbinding constraints. constraint 1 constraint 2 constraint 3
Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of Super- Fit takes 12 minutes to cut and 30 minutes to sew and finish. Each pair of Super-Hug takes 12 minutes to cut and 40 minutes to sew and finish. The plant has enough workers to provide at most 12,599 minutes per day for cutting and at most 37,999 minutes per day for sewing and finishing. The profit on each pair of Super-Fit is $6.00 and the profit on each pair of Super-Hug is $7.00. How many pairs of each style should be produced per day to obtain maximum profit? Find the maximum daily profit. (Use x for Super-Fit and y for Super-Hug.) Maximize P = < 12,599 ≤37,999 Maximum profit is $ subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round jeans to 1 decimal place and profit to 2 decimal places. Number of Super-Fit jeans to…

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