Hi Rahul,
I think you missed a premise in the argument that caused you to make a math error. We are told that the number of
issues will be reduced by half, but the
number of subscribers and the
subscription price will not change.
Your calculation seems to be cutting the revenue in half along with the number of issues; in fact, revenue should stay the same (until you consider choice D, the only one that indicates revenue could decrease as a result of the plan.)
Let's address your concern about choice A by fixing the math.
Let's say the current situation is:
Number of subscribers = 100 people
Annual subscription price = $20
Number of issues annually: 6
Postage cost per issue = $1
Production cost per issue = $2
Current profit = 100 [($20) - (6 issues)($1/issue) - (6 issues)($2/issue)] = (100)($20-$6-$12) = $200
That means the situation under the new plan and considering choice A:
Number of subscribers = 100 people
Annual subscription price = $20
Number of issues annually:
3 (half of 6)
Postage cost per issue =
$1.33 (1/3 increase)
Production cost per issue = $2
Resulting profit = 100 [($20) - (3 issues)($1.33/issue) - (3 issues)($2/issue)] = (100)($20-$4-$6) =
$1000 (big increase)
No matter what numbers we chose, all non-postage costs will decrease by half, while the postage costs will decrease by half (half as many issues) then increase by 1/3 of the result (postage increase) for a final postage cost that is 2/3 of the current postage cost.
rahul.gmat Wrote:One of the strategies in the study guide is to use real nos when statistics are given. That works perfectly here. Say 100 magazines were sold @ $10 each and postage was $3. Profit (including cost of producing also) is 100*10 - 100*3 = $700. Increase of a third in postage means it is now $4 and no of copies is halved, therefore profit is 50*10 - 50*4 = $300. This makes (A) a very strong answer. (D) says advertising cost/issue will be the same, that dosent change anything, that only means an obviously lesser proportional profit. Cost of printing, postage also reduce proportionally, so do the advertising revenues so its obvious that there will be proportional decrease in total profit but keeping the profit % same. With (A) profit decreases drastically and not proportionally. In fact (A) makes the conclusion that profits will be maximized coz it eliminates the possibility that advertisers are not drastically reducing rates due to lesser subscription. Can you please elaborate?