Operations Research Answers

(a) Newbury Fastenings produce two kinds of specialized machine components, S10X and S10Y for which demand exceeds capacity. The production costs for the two products are given in the table below:

S10X S10Y
per component per component
Materials in Kg
(at £8 per Kg) 3 2

Labour in hours
(at £7 per hour) 2 3

Other Variable Costs (£) 6 5


The selling prices of the two products are £79 per unit and £67 per unit respectively. The production manager has stated at the monthly review meeting that there will only be 4,500 kg of material and 4,000 labour hours available next month. The company works on Just-in-Time manufacturing so holds no stocks and it wishes to maximize its profit.
How should the manufacturer arrange the production for next month in order to maximize contribution to profit? Determine the optimum level of contribution to profit.

1.4 Given the constraints (10) A+B + C <= 24, B +C >=8 and A >= 0, B >= 0, C>=  0. Maximize 24-A-B - C A: amount of time spent on school work B: amount of time spent on fun C: amount of time spent on pay work

You and a friend are planning your first backpacking holiday in Southern Africa. You consider travelling through South Africa, Namibia, Botswana, Zimbabwe and Mozambique. You intend to travel for 30 days and need to do careful planning, as you are travelling on a tight budget. You know that tourist decision-making is a complex process influenced by the individual, the many competing tourism destinations available (and the images they build up), and the fact that purchasing a holiday is a high-involvement process. It costs a lot of money to travel and therefore you will not make this decision lightly (Cooper, 2012). As tourism students, you are familiar with the tourist decision-making process developed by Chon (1990), and decide to apply this model in the planning of your trip. Draw a comprehensive sketch of the model of the Chon (1990) tourist decision-making process. Explain the model in detail by indicating how you will apply this process in the planning of your backpacker trip through Southern Africa

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue?

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue?

a company manufactures two kinds of ice cream. the vanilla ice-cream sells for $2.50 each while the chocolate flavor ice-cream sells for $4.50 cents each. it costs the company 1 labor hour to make the vanilla flavor ice-cream and 2 labor hours to make the chocolate flavor ice-cream. the company has a total of 300 labor hours available. it costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. the company has a total of 400 machine hours available. how much of each type of ice-cream should the company produce to maximize the revenue? what is the maximum revenue? [ Hint: let vanilla ice-cream = x ]

1 Maximize z = 3a + b + 2c Subject to: 1. a + b + 3c  30 2. 2a + 2b + 5c  24 3. 4a + b + 2c  36 4. a,b,c  0 NB : a= Computers b= Network devices c= IP cameras Z= Performance -Numbers are costs. The problem above consist of maximizing the performance of our computer network by reducing the total cost.

a company manufactures two kinds of ice-cream. the vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream seels for $4.50 cents each. it costs the company 1 labour hour to make the vanilla ice-cream and 2 labour hours to make the chocolate flavour ice-cream. the company has a total of 300 labour hours available. it costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate flavour ice-cream. the company has a total of 480 machine hours available. how much of each type of ice-cream should the company produce to maximize revenue? what is the maximum revenue? [ hint: let vanilla ice-cream = x]

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream. The company has a total of 300 labour hours available. It costs the company 3 machine hours for the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total of 480 machine hours available. How much of each type of ice-cream should the company produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]

A company manufactures two kinds of ice-cream. The vanilla ice-cream sells for $2.50 each while
the chocolate flavour ice-cream sells for $4.50 cents each. It costs the company 1 labour hour to
make the vanilla flavour ice-cream and 2 labour hours to make the chocolate flavour ice-cream.
The company has a total of 300 labour hours available. It costs the company 3 machine hours for
the vanilla ice-cream and 2 machine hours for the chocolate ice-cream. The company has a total
of 480 machine hours available. How much of each type of ice-cream should the company
produce to maximise revenue? What is the maximum revenue? [Hint: let vanilla ice-cream = x]