Giapetto's Woodcarving, Inc., manufactures two types of wooden toys: soldiers and trains. A soldier sells for $27 and uses $10 worth of raw materials. Each soldier that is manu- factured increases Giapetto's variable labor and overhead costs by $14. A train sells for $21 and uses $9 worth of raw materials. Each train built increases Giapetto's variable la- bor and overhead costs by $10. The manufacture of wooden soldiers and trains requires two types of skilled labor: carpentry and finishing. A soldier requires 2 hours of finishing labor and 1 hour of carpentry labor. A train requires 1 hour of finishing and 1 hour of car- pentry labor. Each week, Giapetto can obtain all the needed raw material but only 100 fin- ishing hours and 80 carpentry hours. Demand for trains is unlimited, but at most 40 sol- diers are bought each week. Giapetto wants to maximize weekly profit (revenues – costs). Formulate a mathematical model of Giapetto's situation that can be used to maximize Gi- apetto's weekly profit.
Giapetto's Woodcarving, Inc., manufactures two types of wooden toys: soldiers and trains. A soldier sells for $27 and uses $10 worth of raw materials. Each soldier that is manu- factured increases Giapetto's variable labor and overhead costs by $14. A train sells for $21 and uses $9 worth of raw materials. Each train built increases Giapetto's variable la- bor and overhead costs by $10. The manufacture of wooden soldiers and trains requires two types of skilled labor: carpentry and finishing. A soldier requires 2 hours of finishing labor and 1 hour of carpentry labor. A train requires 1 hour of finishing and 1 hour of car- pentry labor. Each week, Giapetto can obtain all the needed raw material but only 100 fin- ishing hours and 80 carpentry hours. Demand for trains is unlimited, but at most 40 sol- diers are bought each week. Giapetto wants to maximize weekly profit (revenues – costs). Formulate a mathematical model of Giapetto's situation that can be used to maximize Gi- apetto's weekly profit.
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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![Giapetto's Woodcarving, Inc., manufactures two types of wooden toys: soldiers and trains.
A soldier sells for $27 and uses $10 worth of raw materials. Each soldier that is manu-
factured increases Giapetto's variable labor and overhead costs by $14. A train sells for
$21 and uses $9 worth of raw materials. Each train built increases Giapetto's variable la-
bor and overhead costs by $10. The manufacture of wooden soldiers and trains requires
two types of skilled labor: carpentry and finishing. A soldier requires 2 hours of finishing
labor and 1 hour of carpentry labor. A train requires 1 hour of finishing and 1 hour of car-
pentry labor. Each week, Giapetto can obtain all the needed raw material but only 100 fin-
ishing hours and 80 carpentry hours. Demand for trains is unlimited, but at most 40 sol-
diers are bought each week. Giapetto wants to maximize weekly profit (revenues – costs).
Formulate a mathematical model of Giapetto's situation that can be used to maximize Gi-
apetto's weekly profit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bdd8d41-015f-435c-b261-b4a768d194c0%2F33fa0698-d1ba-4601-bd69-b0c48cd71a0f%2F4t2mqqj.png&w=3840&q=75)
Transcribed Image Text:Giapetto's Woodcarving, Inc., manufactures two types of wooden toys: soldiers and trains.
A soldier sells for $27 and uses $10 worth of raw materials. Each soldier that is manu-
factured increases Giapetto's variable labor and overhead costs by $14. A train sells for
$21 and uses $9 worth of raw materials. Each train built increases Giapetto's variable la-
bor and overhead costs by $10. The manufacture of wooden soldiers and trains requires
two types of skilled labor: carpentry and finishing. A soldier requires 2 hours of finishing
labor and 1 hour of carpentry labor. A train requires 1 hour of finishing and 1 hour of car-
pentry labor. Each week, Giapetto can obtain all the needed raw material but only 100 fin-
ishing hours and 80 carpentry hours. Demand for trains is unlimited, but at most 40 sol-
diers are bought each week. Giapetto wants to maximize weekly profit (revenues – costs).
Formulate a mathematical model of Giapetto's situation that can be used to maximize Gi-
apetto's weekly profit.
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