问答题 4.ALG Co is launching a new, innovative product onto the market and is trying to decide on the right launch price forthe product. The product’s expected life is three years. Given the high level of costs which have been incurred in developing the product, ALG Co wants to ensure that it sets its price at the right level and has therefore consulted amarket research company to help it do this. The research, which relates to similar but not identical products launchedby other companies, has revealed that at a price of $60, annual demand would be expected to be 250,000 units.However, for every $2 increase in selling price, demand would be expected to fall by 2,000 units and for every $2decrease in selling price, demand would be expected to increase by 2,000 units. A forecast of the annual production costs which would be incurred by ALG Co in relation to the new product are as follows:
问答题 (a)Calculate the total variable cost per unit and total fixed overheads.(3 marks)
【正确答案】Variable cost per unit Material cost = $2,400,000/200,000 = $12 per unit. Labour cost = $1,200,000/200,000 = $6 per unit. Variable overhead cost using high-low method: ($1,850,000 –$1,400,000)/(350,000 –200,000) = $3 per unit. Therefore total variable cost per unit = $21. Fixed costs = $1,400,000 – (200,000 x $3) = $800,000
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问答题 Calculate the optimum (profit maximising) selling price for the new product AND calculate the resulting profit for the period. Note: If P = a – bx then MR = a – 2bx. (7 marks)
【正确答案】Optimum price Find the demand function Demand function is P = a –bx, where P = price and x = quantity, therefore find a value for a and b firstly. B = ?P/?Q = 2/2,000 = 0·001 (ignore the minus sign as it is already reflected in the formula P = a –bx.) Therefore P = a –0·001x Find value for ‘a’ by substituting in the known price and demand relationship from the question, matching ‘p’ and ‘x’accordingly. 60 = a –(0·001 x 250,000) 60 = a –250 310 = a Therefore P = 310 – 0·001x. Identify MC MC = $21 calculated in (a) State MR MR = 310 – 0·002x Equate MC and MR to find x 21 = 310 –0·002x 0·002x = 289 x = 144,500 Substitute x into demand function to find P P = 310 –(0·001 x 144,500) P = $165·50 Calculate profit Sales revenue = 144,500 x $165·50 = $23,914,750 Variable overheads = 144,500 x $21 = $3,034,500 Fixed overheads = $800,000 Therefore profit = $20,080,250
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问答题 The sales director is unconvinced that the sales price calculated in (b) above is the right one to charge on the initial launch of the product. He believes that a high price should be charged at launch so that those customersprepared to pay a higher price for the product can be ‘skimmed off’ first. Required: Discuss the conditions which would make market skimming a more suitable pricing strategy for ALG, andrecommend whether ALG should adopt this approach instead.(5 marks)
【正确答案】Market skimming As the sales director suggests, market skimming is a strategy which initially charges high prices for the product in order totake advantage of those buyers who want to buy it as soon as possible, and are prepared to pay high prices in order to doso. If certain conditions exist, the strategy could be a suitable one for ALG Co. The conditions are as follows: –Where a product is new and different, so that customers are prepared to pay high prices in order to gain the perceivedstatus of owning the product early. All we know about ALG Co’s product is that it is ‘innovative’, so it may well meet thiscondition. –Where products have a short life cycle this strategy is more likely to be used, because of the need to recover developmentcosts and make a profit quickly. ALG Co’s product does only have a three-year life cycle, which does make it fairly short. –Where high prices in the early stages of a product’s life cycle are expected to generate high initial cash inflows. If thisis the case here, then skimming would be useful to help ALG Co cover the high initial development costs which it hasincurred. –Where barriers to entry exist, which deter other competitors from entering the market; as otherwise, they will be enticedby the high prices being charged. These might include prohibitively high investment costs, patent protection or unusuallystrong brand loyalty. According to the information we have been given, high development costs were involved in thiscase, which would be a barrier to entry. –Where demand and sensitivity of demand to price are unknown. In ALG Co’s case, market research has been carriedout to establish a price. However, this information is based on the launch of similar but not identical products, so it isnot really known just how accurate it will be. It is not possible to say for definite whether this pricing strategy would be suitable for ALG Co, because of the limitedinformation available. However, it could always be launched at a higher price initially to see what demand is. It is far easierto lower a price after launch than to raise it. The optimum pricing approach in (b) above is based on a set of assumptionswhich do not hold true in the real world. Also, as the data is derived from similar but not identical products, it may not holdtrue for this particular product.
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