Data Analysis
1. How much more does it cost to send a parcel 2. By approximately what percent does the average 3. Marketing expenses trailed production expenses by 4. Consider aggregate legal and production expenses
....weighing 16.5 pounds by express delivery than
....air delivery cost per pound for a 21-pound
....parcel exceed the average ground delivery cost
....about the same percentage during which of the
.
....for each year shown. With respect to the two years
....during which this aggregate amount was most nearly
....the same, average annual marketing expenses totaled
2 comments:
1)The correct response to Question 1 is (D). In addition to the top row's rate schedule, the middle row's rate schedule would be used if a parcel weighs at least two pounds and up to (but not including) exactly 11 pounds. In addition to the top and middle rows' schedules, the bottom row's rate schedule would be used if a parcel weighs at least 11 pounds. With this in mind, first determine the total cost of shipping the parcel by each of the two methods:
ground:
$1.50 + ($.40)(9) + ($.25)(6) = $6.60
express:
$6.75 + ($1.15)(9) + ($.75)(6) = $21.60
Next, compute the difference between these two amounts:
$21.60 - $6.60 = $15.00.
2)The correct response to Question 2 is (C). In addition to the top row's rate schedule, the middle row's rate schedule would be used if a parcel weighs at least two pounds and up to (but not including) exactly 11 pounds. In addition to the top and middle rows' schedules, the bottom row's rate schedule would be used if a parcel weighs at least 11 pounds. With this in mind, first determine the total cost of shipping each parcel by the methods indicated in the question:
28 pounds by ground:
$1.50 + ($.40)(9) + ($.25)(18) = $9.60
21 pounds by air:
$2.25 + ($.60)(9) + ($.40)(11) = $12.05
Next, approximate the average shipping cost per pound for each parcel:
ground:
$9.60/28 $.34 per pound (just over one-third dollar)
air:
$12.05/21 $.60 per pound
Finally, determine the percent by which $.60 exceeds $.35. An approximation will suffice:
60/35 1.7
$.60 is approximately 170% of $.35, and therefore exceeds $.35 by about 70%. Answer choice (C) is the only one that comes close to this approximation. (In fact, 67 is the numerical answer to the question, to the nearest unit.)
3) The correct response to Question 3 is (A). During 1990 marketing expenses totaled about 4.0 million while production expenses totaled about 5.7 million. The difference is 1.7 million, or about 43% of 4.0 million. During 1992 marketing expenses totaled about 7.8 million while production expenses totaled about 11.2 million. The difference is 3.4 million, or about 43%.
4)The correct response to Question 4 is (B). First determine aggregate legal and production expenses for each year shown (approximations will suffice; all numbers here are in millions):
1990: 5.0 + 5.8 = 10.8
1991: 4.0 + 5.2 = 9.2
1992: 3.4 + 11.0 = 14.4
1993 = 9.5 + 5.5 = 15.0
1994: 6.1 + 4.6 = 10.7
The aggregate amount was most nearly equal for the years 1990 and 1994. Next, determine the average annual marketing expenses for these two years. (Again, approximations will suffice.) The average of $4.0m (1990 marketing expenses) and $8.2m (1994 marketing expenses) is $6.1m
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