Tag (SQ): Resource Constraints

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MA – L2 – Q48 – Decision Making Techniques

Determine if BHIL should manufacture Zeta internally or buy it, given material constraints and government orders.

Blue Horizon Industries Limited (BHIL) produces and markets three products viz. Alpha, Beta, and Gamma. Following information is available from BHIL’s records for the manufacture of each unit of these products:

Alpha Beta Gamma
Selling price GH₵ 66 GH₵ 106 GH₵ 124
Material-A (GH₵ 4 per kg) GH₵ 8 GH₵ 12 GH₵ 12
Material-B (GH₵ 6 per kg) GH₵ 12 GH₵ 24 GH₵ 24
Direct labour (GH₵ 10 per hour) GH₵ 25 GH₵ 25 GH₵ 30
Variable overhead based on:
– Labour hours GH₵ 1.8 GH₵ 1.5 GH₵ 1.8
– Machine hours GH₵ 1.4 GH₵ 1.2 GH₵ 1.2
Total GH₵ 3.2 GH₵ 2.7 GH₵ 3.0
Other data:
Machine hours 7 6 6
Maximum demand per month (units) 3,000 3,000 5,000

Additional information:
(i) BHIL is also engaged in the trading of a fourth product Zeta, which is very popular in the market and generates a positive contribution. BHIL currently purchases 600 units per month of Zeta from a supplier at a cost of GH₵ 40 per unit. In-house manufacture of Zeta would require: 2.5 kg of material-B, 1 hour of direct labour, and 2 machine hours.
(ii) Materials A and B are purchased from a single supplier who has restricted the supply of these materials to 22,000 kg and 34,000 kg per month respectively. This restriction is likely to continue for the next 8 months.
(iii) BHIL has recently accepted a Government order for the supply of 200 units of Alpha, 300 units of Beta, and 400 units of Gamma each month for the next 8 months. These quantities are in addition to the maximum demand stated above.
(iv) There is no beginning or ending inventory.

Required:
Determine whether BHIL should manufacture Zeta internally or continue to buy from the supplier during the next 8 months.

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MA – L2 – Q47 – Decision Making Techniques

Establish production plan to maximize profit with steel limited to GH₵250,000, prioritizing a major customer's order.

An engineering company has been experiencing problems with restricted availability of resources. The company manufactures a variety of casings. It makes four types of casing. Each casing requires the same bought-in component and some high-grade steel. The standard costs for the four types of casing are as follows:

Casing A B C D
GH₵ GH₵ GH₵ GH₵
Steel 250 500 190 390
Bought-in component 50 50 50 50
Direct labour 60 60 50 100
Variable production costs 40 50 40 50
Fixed production costs 180 240 150 270
Selling and administration costs 145 225 120 215
Profit 35 55 30 55
Selling price 760 1,180 630 1,130

All the selling and administration costs are fixed and the same single component is used for each of the four products. Direct labour is paid GH₵8 per standard hour and each member of the workforce is capable of producing any of the casings.
The company’s main customer has ordered 30 units of Casing A, 20 units of B, 30 units of C, and 20 units of D for production and delivery in the next month. Senior management have agreed that this order should be treated as a priority order and that these casings must be manufactured and delivered to the customer next month. This is necessary to maintain the goodwill of the customer. It is estimated that this order represents 10% of the total demand next month for each type of casing.
The company operates a just-in-time system, and has no inventories of steel, components, or finished goods.
Required:
If the aim is to maximise profit for the month, establish the production and selling plan for the company next month in the following situation:
(a) Situation 1. Supplies of steel are limited to GH₵250,000.

(b) Situation 2. Only 400 bought-in components are available from suppliers.

(c) Situation 3. A labour dispute restricts available productive labour hours in the month to 2,125.

(d) Situation 4. A labour dispute restricts available productive labour hours in the month to 2,125; but the manufacture of any quantities of the four casings could be sub-contracted to an outside supplier. The cost of buying the casings externally would be GH₵475, GH₵705, GH₵380, and GH₵640 for Casing A, Casing B, Casing C, and Casing D respectively. In addition, it should be assumed that the major customer insists that its order is completed by the company itself and the manufacture should not be subcontracted.

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