Adidas is one of the world-famous manufacturers of Balls. One the ball used at major events is a foot ball with the name "Jabulani" which is used on world cup in Africa. Adidas not only produces footballs but Adidas also produces basketball and volleyball. Adidas Indonesia's production manager said that In producing a ball of foot requires 1m leather and 10m yarn. As for producing a basketball takes 2m leather and 15m yarn. To produce a volleyball takes 1m leather and 12m yarn. In addition, in the production process carried out, for the manufacture of foot balls spend half an hour each ball produced, 45 minutes to produce each basketball and within 1 hour can produce 3 volleyballs. After checking the available raw materials, it is known that the supply of leather is as much as 75m and a supply of 1000m yarn and available working hours of 9 hours/day. If the selling price of each ball is Rp. 50,730 for football, Rp. 45,000 for basketball, Rp. 25.000 for volleyball and the cost of the wrapping box on each ball is the same at Rp. 5.000 so: a) Calculate the exact amount of production for each ball for Adidas to earn Maximum profit b) How much profit is it?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
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Adidas is one of the world-famous manufacturers of Balls. One the ball used at major events is a foot
ball with the name "Jabulani" which is used on world cup in Africa. Adidas not only produces footballs
but Adidas also produces basketball and volleyball. Adidas Indonesia's production manager said that
In producing a ball of foot requires 1m leather and 10m yarn. As for producing a basketball takes 2m
leather and 15m yarn. To produce a volleyball takes 1m leather and 12m yarn. In addition, in the
production process carried out, for the manufacture of foot balls spend half an hour each ball
produced, 45 minutes to produce each basketball and within 1 hour can produce 3 volleyballs. After
checking the available raw materials, it is known that the supply of leather is as much as 75m and a
supply of 1000m yarn and available working hours of 9 hours/day. If the selling price of each ball is Rp.
50,730 for football, Rp. 45,000 for basketball, Rp. 25.000 for volleyball and the cost of the wrapping
box on each ball is the same at Rp. 5.000 so:
a) Calculate the exact amount of production for each ball for Adidas to earn Maximum profit
b) How much profit is it?
Transcribed Image Text:Adidas is one of the world-famous manufacturers of Balls. One the ball used at major events is a foot ball with the name "Jabulani" which is used on world cup in Africa. Adidas not only produces footballs but Adidas also produces basketball and volleyball. Adidas Indonesia's production manager said that In producing a ball of foot requires 1m leather and 10m yarn. As for producing a basketball takes 2m leather and 15m yarn. To produce a volleyball takes 1m leather and 12m yarn. In addition, in the production process carried out, for the manufacture of foot balls spend half an hour each ball produced, 45 minutes to produce each basketball and within 1 hour can produce 3 volleyballs. After checking the available raw materials, it is known that the supply of leather is as much as 75m and a supply of 1000m yarn and available working hours of 9 hours/day. If the selling price of each ball is Rp. 50,730 for football, Rp. 45,000 for basketball, Rp. 25.000 for volleyball and the cost of the wrapping box on each ball is the same at Rp. 5.000 so: a) Calculate the exact amount of production for each ball for Adidas to earn Maximum profit b) How much profit is it?
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