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Read the four statements below. Where the statement is expressed in layman's terms, rephrase it using the appropriate variant of the term elasticity. Where it is already phrased in terms of elasticity, translate it into layman's terms. 

(a) We doubled sales of product A by dropping the price from $1.99 to $1.75. 

(b) Price elasticity of product B is low. 

(c) Demand for product C is highly inelastic. 

(d) A large reduction in price will be necessary to stimulate further demand for product D. 

A sales director believes that the price elasticity of demand for Product X is greater than 1, and proposes to take advantage of this by reducing the selling price for Product X. What will happen to sales revenue and profit if the price is reduced? 

The current price of a product is $30 and its producers sell 100 items a week at this price. One week the price is dropped by $3 as a special offer and the producers sell 150 items. Find an expression for the demand curve, assuming that this is a linear equation. 

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 company budgets to make 20,000 units which have a variable cost of production of $4 per unit. Fixed production costs are $60,000 per annum. If the selling price is to be 40% higher than full cost, what is the selling price of the product using the full cost-plus method? 

A product has the following costs.  

                                                                                    $ 

Direct materials                                                       5 

Direct labour                                                             3 

Variable overheads                                                 7 

Fixed overheads are $10,000 per month. Budgeted sales per month are 400 units to allow the product to break even. 

Required 

Determine the profit mark up which needs to be added to marginal cost to allow the product to break even. 

Which of the following conditions must be true for a price discrimination policy to be sensible? 

A

 Buying power of customers must be similar in both market segments 

B

 Goods must not be able to move freely between market segments 

C

 Goods must be able to move freely between market segments 

D

 The demand curves in each market must be the same 

 A product has a prime cost of $12, variable overheads of $3 per unit and fixed overheads of $6 per unit. 

Which pricing policy gives the highest price? 

A

 Prime cost + 80% 

B

 Marginal cost + 60% 

C

 TAC + 20% 

D

Net margin of 14% on selling price 

 If the demand for a product is 5,000 units when the price is $400 and 6,000 units when price is $380, what is the optimal price to be charged in order to maximise profit if the variable cost of the product is $200? 

A

 $150 

B

 $200 

C

 $350 

D

 $700 

The following price and demand combinations have been given: 

P1 = 400, Q1 = 5,000 

P2 = 380, Q2 = 5,500 

The variable cost is a constant $80 per unit and fixed costs are $600,000 pa.  

What is the demand function? 

A

 P = 200 – 0.04Q 

B

 P = 600 – 0.04Q 

C

 P = 600 + 0.04Q 

D

 P = 200 – 20Q