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Chapter 3 Problems 111 :08 nits Material Labor Gross Required (Square Feet) Required (Minutes) Glove (per Peir) Men's 2 Women's 1.5 45 Children's Each full-time employee earns $13 per hour, while each part-time employee earns $10 per hour. Management wishes to know what mix of each of the three types of gloves to produce per week, as well as how many full-time and part-time workers to employ. They would like to maximize their net profit-their gross profit from sales minus their labor costs. a./Formulate and solve a linear programming model for this problem on a spreadsheet. kSummarize this formulation in algebraic form. Oxbridge University maintains a powerful mainframe computer for research use by its faculty, Ph.D. students, and research associates. During all working hours, an operator must to onerate and maintain the computer, as well as to -u 3.24. 1.klo tho director

Chapter 3 Problems 111 :08 nits Material Labor Gross Required (Square Feet) Required (Minutes) Glove (per Peir) Men's 2 Women's 1.5 45 Children's Each full-time employee earns $13 per hour, while each part-time employee earns $10 per hour. Management wishes to know what mix of each of the three types of gloves to produce per week, as well as how many full-time and part-time workers to employ. They would like to maximize their net profit-their gross profit from sales minus their labor costs. a./Formulate and solve a linear programming model for this problem on a spreadsheet. kSummarize this formulation in algebraic form. Oxbridge University maintains a powerful mainframe computer for research use by its faculty, Ph.D. students, and research associates. During all working hours, an operator must to onerate and maintain the computer, as well as to -u 3.24. 1.klo tho director

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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-234 $10 per know what mix of each of the th Back 000' per week, as well as how many f to employ. They would like to m gross profit from sales minus thei Furthermore, the weight of the cargo in the respective com- partments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane. The following four cargoes have been offered for shipment on an upcoming flight as space is available. a./Formulate and solve for this problem on a Summarize this form Oxbridge University ma computer for research use by it research associates. During all w be available to operate and maint perform some programming serv of the computer facility, oversees It is now the beginning of the fronted with the problem of assig her operators. Because all the op the university, they are available 3.24. Weight Volume Profit Cargo (Cubic Feet/Ton) ($/Ton) (suol) 320 25 009 13 290 of hours each day. There are six operators (four Any portion of these cargoes can be acceptni. The chjec- tive is to determine how much (if any) of each cargo siould be accepted and how to distribute each among the compartments to maximize the total profit for the flight. graduate students). They all have Gfferences in their experience w gramming abilicy. The following ta with the mex mum numbeT of hou a. Formulate and solve a linear programming medel for this mixed problem on a spreadsheet. unuxew b. Express the model in algebraic form. Operetors Wage Rate Mo 323. uct line of winter gloves for the entire family-men, women, and chiliren. They are trying to decide what mix of these three types of gloves to produce. Confortable Hands's manufacturing labor force is union- ized. Each full-time employee works a 40-hour week. In addi- tion, by union contract, the number of full-time employees can never drop below 20. Nonunion, part-time workers also can be hired with the following union-imposed restrictions: (1) each part-time worker works 20 hours per week and (2) there must be at least two full-time employees for each part- time employee. All three types of gloves are made out of the same 100 percent genuine cowhide leather. Comfortable Hands has a long-term contract with a supplier of the leather and receives a 5,000-square-foot shipment of the material each week. The mate- rial requirements and labor requirements, along with the gross profit per glove sold (not considering labor costs), are given in the following table. Comfortable Hands is a company that features a prod- $20.0 $20.20/hour H. B. $19.80/hour S. C. $19.60/hour K. S. $21.60/hour N. K. $22.60/hour Each operator is guaranteed hours per week that will mainta operation. This level is set arb the undergraduate students (K. 7 hours per week for the gradua The computer facility is to E to 10 PM Monday through Frid duty during these hours. On S puter is to be operated by other
Transcribed Image Text:-234 $10 per know what mix of each of the th Back 000' per week, as well as how many f to employ. They would like to m gross profit from sales minus thei Furthermore, the weight of the cargo in the respective com- partments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane. The following four cargoes have been offered for shipment on an upcoming flight as space is available. a./Formulate and solve for this problem on a Summarize this form Oxbridge University ma computer for research use by it research associates. During all w be available to operate and maint perform some programming serv of the computer facility, oversees It is now the beginning of the fronted with the problem of assig her operators. Because all the op the university, they are available 3.24. Weight Volume Profit Cargo (Cubic Feet/Ton) ($/Ton) (suol) 320 25 009 13 290 of hours each day. There are six operators (four Any portion of these cargoes can be acceptni. The chjec- tive is to determine how much (if any) of each cargo siould be accepted and how to distribute each among the compartments to maximize the total profit for the flight. graduate students). They all have Gfferences in their experience w gramming abilicy. The following ta with the mex mum numbeT of hou a. Formulate and solve a linear programming medel for this mixed problem on a spreadsheet. unuxew b. Express the model in algebraic form. Operetors Wage Rate Mo 323. uct line of winter gloves for the entire family-men, women, and chiliren. They are trying to decide what mix of these three types of gloves to produce. Confortable Hands's manufacturing labor force is union- ized. Each full-time employee works a 40-hour week. In addi- tion, by union contract, the number of full-time employees can never drop below 20. Nonunion, part-time workers also can be hired with the following union-imposed restrictions: (1) each part-time worker works 20 hours per week and (2) there must be at least two full-time employees for each part- time employee. All three types of gloves are made out of the same 100 percent genuine cowhide leather. Comfortable Hands has a long-term contract with a supplier of the leather and receives a 5,000-square-foot shipment of the material each week. The mate- rial requirements and labor requirements, along with the gross profit per glove sold (not considering labor costs), are given in the following table. Comfortable Hands is a company that features a prod- $20.0 $20.20/hour H. B. $19.80/hour S. C. $19.60/hour K. S. $21.60/hour N. K. $22.60/hour Each operator is guaranteed hours per week that will mainta operation. This level is set arb the undergraduate students (K. 7 hours per week for the gradua The computer facility is to E to 10 PM Monday through Frid duty during these hours. On S puter is to be operated by other
Chapter 3 Problems 111 limits Material SSO9 Required (Square Feet) Required (Minutes) Glove (per Pair) Men's Women's 1.5 45 10 Children's 1 et) Each full-time employee earns $13 per hour, while cachs part-time employee earns $10 per hour. Management wishes to know what mix of each of the three types of gloves to prodduce per week, as well as how many full-time and part-time workers to employ. They would like to maximize their net profit-their gross profit from sales minus their labor costs. Formulate and solve a linear programming model a./ for this problem on a spreadsheet. bSummarize this formulation in algebraic form. nt's ent 3.24. Oxbridge University maintains a powerful mainframe computer for research use by its faculty, Ph.D. students, and research associates. During all working hours, an operator must aunilahle to operate and maintain the computer, as well as to 1 Ingram the director
Transcribed Image Text:Chapter 3 Problems 111 limits Material SSO9 Required (Square Feet) Required (Minutes) Glove (per Pair) Men's Women's 1.5 45 10 Children's 1 et) Each full-time employee earns $13 per hour, while cachs part-time employee earns $10 per hour. Management wishes to know what mix of each of the three types of gloves to prodduce per week, as well as how many full-time and part-time workers to employ. They would like to maximize their net profit-their gross profit from sales minus their labor costs. Formulate and solve a linear programming model a./ for this problem on a spreadsheet. bSummarize this formulation in algebraic form. nt's ent 3.24. Oxbridge University maintains a powerful mainframe computer for research use by its faculty, Ph.D. students, and research associates. During all working hours, an operator must aunilahle to operate and maintain the computer, as well as to 1 Ingram the director
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