QUESTION 1 A carpenter makes tables and chairs. Each table can be sold for a profit of GHS30 and each chair for a profit of GHS10. The carpenter can afford to spend up to 40 hours per week working and takes six hours to make a table and three hours to make a chair. Customer demand requires that he makes at least three times as many chairs as tables. Tables take up four times as much storage space as chairs and there is room for at most four tables each week. 1. Formulate this problem as a linear programming problem and solve it graphically. QUESTION 2 Prepare a line of balance schedule for a small contract of 15 houses based on a rate of build of three houses per week assuming five eight-hour days per week. A minimum buffer of five days be assumed. Table 1 shows the operation together with the estimated labour-hours and optimum number of operatives for each question. a. Draw a logic diagram for the sequence of operations. b. Make two suggestion as to how the overall duration of the project could be reduced. Table 1 Operation Duration No. of Gangs Substructure Brickwork 320 180 6 4 4 C. Joiner, first fix 200 D. Tilers 60 2 E. Glazing 40 2 F. Joiner, second fix 120 3 G. Electrician 80 2 H. Plumber 100 2 I. Painter 40 3 QUESTION 3 Your company wants to decide between Investment A, which will cost GHS100,000 upfront, and investment B, which will cost GHS150,000 upfront. If the economy performs well, Investment A will bring in GHS750,000 for your company, but if the economy performs poorly, then it will lose GHS250,000 for your company. If the economy performs well, Investment B will bring in 850,000 for your company, but if the economy performs poorly, then it will lose GHS300,000 for your company. There is a 60% chance of a strong market and a 40% chance of a weak market. a. Determine the best investment for the company. QUESTION 4 De Simone limited has plants in four locations and is currently working on four major construction projects, each located at a different site. The shipping cost per truckload of bitumen, daily machine capacities, and daily project requirements are provided in the table below: 5 To Project A Project B Project C Plant From Capacities Plant 1 9 150 Plant 2 11 11 150 Plant 3 2 4 12 150 Project Requirements 200 50 200 QUESTION 1 A carpenter makes tables and chairs. Each table can be sold for a profit of GHS30 and each chair for a profit of GHS10. The carpenter can afford to spend up to 40 hours per week working and takes six hours to make a table and three hours to make a chair. Customer demand requires that he makes at least three times as many chairs as tables. Tables take up four times as much storage space as chairs and there is room for at most four tables each week. 1. Formulate this problem as a linear programming problem and solve it graphically. QUESTION 2 Prepare a line of balance schedule for a small contract of 15 houses based on a rate of build of three houses per week assuming five eight-hour days per week. A minimum buffer of five days be assumed. Table 1 shows the operation together with the estimated labour-hours and optimum number of operatives for each question. a. Draw a logic diagram for the sequence of operations. b. Make two suggestion as to how the overall duration of the project could be reduced. Table 1 Operation Duration No. of Gangs Substructure Brickwork 320 180 6 4 4 C. Joiner, first fix 200 D. Tilers 60 2 E. Glazing 40 2 F. Joiner, second fix 120 3 G. Electrician 80 2 H. Plumber 100 2 I. Painter 40 3 QUESTION 3 Your company wants to decide between Investment A, which will cost GHS100,000 upfront, and investment B, which will cost GHS150,000 upfront. If the economy performs well, Investment A will bring in GHS750,000 for your company, but if the economy performs poorly, then it will lose GHS250,000 for your company. If the economy performs well, Investment B will bring in 850,000 for your company, but if the economy performs poorly, then it will lose GHS300,000 for your company. There is a 60% chance of a strong market and a 40% chance of a weak market. a. Determine the best investment for the company. QUESTION 4 De Simone limited has plants in four locations and is currently working on four major construction projects, each located at a different site. The shipping cost per truckload of bitumen, daily machine capacities, and daily project requirements are provided in the table below: 5 To Project A Project B Project C Plant From Capacities Plant 1 9 150 Plant 2 11 11 150 Plant 3 2 4 12 150 Project Requirements 200 50 200
