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CIMA P2 Chapter 15 Test - Pricing

TTom7y ago
On Q1 it asks what the price would be if demand is 225 when: $30 = 100 units $27 = 150 units The answer is $22.50 but I can't work out why?
C-Cath - CIMA Tutor7y ago#1
Hi, Thanks for your question. if you have watched the lectures - you should be familiar with the expression: P = a -bQ where P is price ( which you are trying to find out) Q is quantity - in your case 225 units. 'a' and 'b' must be calculated using the existing data which is given.... a = current price + ((current qty/ change in qty when price changes by $z) *$z) therefore using the info given a = 27 +(150/50)*$3) a = 36 b = change in price / change in quantity b = 3 / 50 b = 0.06 so the full expression here is: P = 36 - 0.06Q so if Q = 225 then P = 36 - 0.06*225 P = 36 - 13.5 P = 22.5 I hope this helps ?
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