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Think Big Ltd has received a special order for 2,000 units of its product X at...

Think Big Ltd has received a special order for 2,000 units of its product X at a special price of $60. The product normally sells for $80 and has the following manufacturing costs: Per unit Direct materials $24 Direct labour 16 Variable manufacturing overhead 12 Fixed manufacturing overhead 20 Unit cost $72 The company has sufficient capacity to fill the order without harming normal production and sales and all fixed overhead is unavoidable. The production department is currently facing a constraint of resources on producing three products with a shortage of machine hours since one of its two machines is down – only 360 hours are available this month. The selling price, costs, labour requirements, and demand of the three products are as follows: Product A Product B Product C Selling price $5.00 $3.00 $5.00 Variable cost per unit $3.50 $2.00 $2.00 Machine hours per unit 0.75 0.25 1 Demand (units) 300 400 210 Required: (a) For making a decision on acceptance of the special order: (i) Calculate the effect on the company’s short-term profit on accepting the order. (ii) Determine the minimum price to charge in order to achieve an incremental profit of $20,000. (iii) Assuming the company is currently operating at full capacity, what effect will the order have on the company's short-term profit? (b) For making a decision on prioritization of products when the machine is down: (i) Determine the units of each products to be produced and sold to maximise profit. (ii) Calculate the total contribution margin earned based on your production plan determined in (i) above.

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