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Question 1 of 15
1. Question
From the options below, select the correct purpose of stating non-negativity constraints.
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Question 2 of 15
2. Question
From the options below, select the situation in which profit will be maximised for an organisation which has a limiting factor.
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Question 3 of 15
3. Question
From the options below, select the ONE statement that does not relate to shadow pricing.
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Question 4 of 15
4. Question
A company has done the following analysis:
Product L M $ per unit $ per unit Selling price 70 90 Direct labour ($7 per hour) (28) (14) Direct material ($ 5 per kg) (10) (45) Machine hours ($10 per hour) (10) (20) Contribution 22 11 Demand for L and M is 400 units and 700 units respectively. Material is in short supply and there is only 6,000 kg available.
What is the optimum contribution that can be earned?
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Question 5 of 15
5. Question
Which of the following statements regarding linear programming is/are TRUE?
Select all that apply:
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Question 6 of 15
6. Question
From the options below, select the factor/s that would explain the area where the solution lies.
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Question 7 of 15
7. Question
X Co. makes two products – Z and J. Both products are made out of material Q. Each unit of product requires 3kg of material Q. The company is already committed to a contract to make 160 units of Z.
If a total of 350 units of J can be made, what is the inventory of material Q in kgs?
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Question 8 of 15
8. Question
W Plc makes two types of tables, big and small. Both the tables are made of teakwood. There is a total of 320kg of teakwood available. Each big table requires 5kg of teakwood and each small table requires 2kg of teakwood. The company is already committed to making 120 small tables.
From the above details, calculate how many big tables can be made?
units
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Question 9 of 15
9. Question
Galileo PLC is a manufacturer of two different products, Product K and Product M. The firm aims to maximise contribution from both of these products. Both products require both skilled and unskilled labour to produce.
The following information pertains to both products:
Product K Product M Selling price $55 $75 Direct materials $13 $19 Direct unskilled labour $8 $9 Direct skilled labour $13 $12 Variable overheads $4 $6 Fixed overheads absorbed $2 $4 The organisation is limited to 1,000 hours of unskilled labour per period and 800 hours of skilled labour per period. Materials are also limited with only 5,000kgs of materials being available per period.
If ‘K’ represents the number of units of Product K sold in a period and ‘M’ represents the number of units of Product M sold in a period, what will the objective function be for Galileo PLC?
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Question 10 of 15
10. Question
A manufacturing company has the following information for Period 3, 20X1:
A B C D Contribution (per unit) £14 £17 £20 £11 Labour hours required per unit 1 1.5 2 0.5 Maximum demand (in units) 300 150 200 50 The firm produces four different products, A, B, C and D. The firm considers labour hours to be a single limiting factor as there are only 500 labour hours available in Period 3 20X1 due to an ongoing worker protest.
Which of the four different products will be the last to be produced in Period 3 20X1?
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Question 11 of 15
11. Question
In a linear programming problem, the constraints are X ≤ 41 and Y ≥ 19. Describe the feasible region, assuming where appropriate that the axes also constitute boundaries.
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Question 12 of 15
12. Question
From a linear programming perspective, what is the most accurate description of the term ‘surplus’?
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Question 13 of 15
13. Question
Gladiator Ltd is a manufacturer that produces three products, Product X, Y and Z. The firm considers labour hours to be a limiting factor and so it needs to allocate labour hours to each product carefully.
The following information is budgeted for 20X1:
Per unit information: X Y Z Sales Price £55 £60 £70 Direct labour cost £15 £20 £30 Direct labour hours 3 3.5 4 Direct materials £11 £16 £14 Variable overhead £2 £3 £6 Fixed overhead absorbed £1 £2 £4 Of the three products, which one will the organisation produce first?
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Question 14 of 15
14. Question
From the options below, select under which type of cost would unit cost be classified in linear programming.
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Question 15 of 15
15. Question
A company has done the following analysis:
Product R T $ per unit $ per unit Selling price 130 160 Direct labour ($8 per hour) (24) (40) Material A ($3 per kg) (15) (12) Material B ($7 per litre) (14) (7) Machine hours ($10 per hour) (30) (40) Contribution 47 61 Demand for R and T is 750 and 1,150 respectively. Labour hours are in short supply and there are only 7,500 hrs available. However, the company must fulfil a commercial customer order first of 250 Rs and 350 Ts before it can produce what it wishes to make.
What is the optimum production plan of Rs and Ts to make?
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