AB has used market research to determine that if a price of $250 is charged for product G, demand will be 12,000 units. It has also been established that demand will rise or fall by 5 units for every $1 fall/rise in the selling price. The marginal cost of product G is $80.
Required
If marginal revenue = a – 2bQ when the selling price (P) = a – bQ, calculate the profit-maximising selling price for product G.
a = $250 + ((12,000/5) × $1) = $2,650
MR = 2,650 – (2 × 0.2)Q = 2,650 – 0.4Q
Profits are maximised when MC = MR, ie when 80 = 2,650 – 0.4Q
2,650 – 80 = 2,570 × 10/4 = 6,425
Profit-maximising demand = 6,425
Now, substitute the values into the demand curve equation to find the profit-maximising selling price P = a – bQ
P = 2,650 – (0.2 × 6,425)
∴Profit-maximising price = $(2,650 – 1,285) = $1,365
多做几道
Fill in the blanks.
Ideally, a transfer price should be set that enables the individual divisions to maximise their profits at a level of output that maximises ……………………. .
The transfer price which achieves this is unlikely to be a ……………….. transfer price or a ……………. transfer price.
If optimum decisions are to be taken, transfer prices should reflect …………………. .
There are two profit centres, A and B. Profit centre A transfers a product to profit centre B, but could also sell the product in an external market at a price of $30. The marginal cost of making the product in profit centre A is $8 per unit and the full cost is $14 per unit. There would be a variable cost of $1 per unit for sales and distribution to customers in the external market, but no such costs for internal transfers.
To avoid disputes between the profit centre managers, what should be the transfer price for the product?
$ _______
What objectives might the following not for profit organisations have?
(a) An army (d) A political party
(b) A local council (e) A college
(c) A charity
One of the objectives of a local government body could be 'to provide adequate street lighting throughout the area'.
(a) How could the 'adequacy' of street lighting be measured?
(b) Assume that other objectives are to improve road safety in the area and to reduce crime. How much does 'adequate' street lighting contribute to each of these aims?
(c) What is an excessive amount of money to pay for adequately lit streets, improved road safety and reduced crime? How much is too little?
What general objectives of non profit seeking organisations are being described in each of the following?
(a) Maximising what is offered
(b) Satisfying the wants of staff and volunteers
(c) Equivalent to profit maximisation
(d) Matching capacity available
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