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1. If a person in Pennsylvania has a total of $500 to spend on a Whizzo order, which of the following orders could he afford, including the cost of shipping?
  • five 12-piece assortments, all requiring refrigerated shipping
    • Price: 1.5 * 5 = 75
    • Shipping fee: 80 + 1.5 * 5 * 15 = 192.5
    • => Total less than $500
  • two large chocolate-covered fruit baskets
    • Shipping fee: 80 + 15 * 30 * 2 = 980 > 500
  • the all-chocolate chessboard with white & dark chocolate chessmen
    • Shipping fee: 80 + 15 * 25 = 455
    • Price: 155
    • ==> Total more than $500
2. For each of the following “mixed orders”, each containing twenty items total, which shipping option will be less expensive?

Option A) only items requiring refrigerated shipping sent via refrigerated shipping , and all other items sent without refrigeration
Option B) all items, regardless of type, sent via refrigerated shipping
  • ­fifteen 12-piece assortments requiring refrigerated shipping and five 12-piece assortments not requiring refrigerated shipping
    • Option A can reduce some cost for some pounds not requiring non-refrigerated shipping but incur the fixed cost for Non-Refrigatered shipping ($50)
    • whether to choose B is instead of A depends on whether the additional fee for refrigerating those which does not require refrigated shipping is less than $50 
    • Except the fixed cost, the difference between the 2 Refrigerated and Non-Refrigerated shipping service is $5/per pound
    • 5 (12 piece assortments) * 1.5 (lbs) * 5 ($ per pound) = 37.5 < 50
    • Option B is better
  • ten 12-piece assortments requiring refrigerated shipping and ten 12-pieceassortments not requiring refrigerated shipping
    • Similar reasoning
    • 10 (12 piece assortments) * 1.5 (lbs) * 5 ($ per pound) = 75 > 50
    • Option A is better
  • five 12-piece assortments requiring refrigerated shipping and fifteen 12-piece assortments not requiring refrigerated shipping
    • If the number of those not requiring refrigerated shipping increase, the the additional fee for refrigerating those which does not require refrigated shipping will also increase 
    • The additional fee for this case will be higher than that of the 2nd case ($75) and therefore higher than $50
    • Option A is better



 
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Someone please explain Q2
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Data Insights (DI) Butler 2023-24 [Question #221, Date: Jan-29-2024] [[url=https://gmatclub.com/forum/data-insights-di-butler-419150.html]Click here for Details]
Can someone explain why options 2&3 require refrigeration???
I thought only option 1 required refrigeration because of the words "all refrigerated".
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­Glancing the options, all are n = 20 items are 12-piece assortments
Which means same weight for all items W (W = 1.5 lbs)
Which also means total item cost = C (C = 20*$14.99), don't have to worry about this component while comparing
If refrigerated, n product shipping cost = 80 + 15 * n * W
If not refrigerated, n product shipping cost = 50 + 10 * n * W
When all 20 items are refrigerated RF = 80 + 15 * 20 * W = 80 + 300 W = $530 = 130 + 266.67 W
When some are RF some are NRF, (80 + 15 * n * W) + (50 + 10 * (20-n) * W) = 130 + (200 + 5 * n) * W
fifteen 12-piece assortments requiring refrigerated shipping and five 12-piece assortments not requiring refrigerated shipping
RF + NRF = 130 + (200 + 5 * 15) * W = 130 + 275 W
RF + NRF > RF

ten 12-piece assortments requiring refrigerated shipping and ten 12-piece assortments not requiring refrigerated shipping
RF + NRF = 130 + (200 + 5 * 10) * W = 130 + 250 W
RF + NRF < RF

five 12-piece assortments requiring refrigerated shipping and fifteen 12-piece assortments not requiring refrigerated shipping
RF + NRF = 130 + (200 + 5 * 5) * W = 130 + 225 W
RF + NRF < RF
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Question 2 required a lot of calculations and there were too many carefully crafted calculations. Even with a calculator, it takes a while to calculate and compare the two values. Does anyone have a time-efficient way to solve question 2? I made guesses looking at the numbers in the calculations without actually plugging in the values but with that, I got option 2 incorrect.
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siddhantvarma
Question 2 required a lot of calculations and there were too many carefully crafted calculations. Even with a calculator, it takes a while to calculate and compare the two values. Does anyone have a time-efficient way to solve question 2? I made guesses looking at the numbers in the calculations without actually plugging in the values but with that, I got option 2 incorrect.
a) WFS non-refrigerated service: $50 plus $10 times each pound
b) WFS refrigerated service: $80 plus $15 times each pound

You don't need to think about refrigerated shipping because it's fixed. You cannot ship chocolate requiring refrigerated shipping to non- refrigerated shipping service and since every option including refrigerated shipping, $80 starting cost is already happened.
You should not add another $80.

So problem we left is 5/10/15 12-piece assortments (1.5 lbs for each one)

which means 7.5lbs / 15lbs / 22.5lbs


first, let's just try 10lbs. nonR = 50+10*10 = 150 // R = 150. It's same.
Meaning we must choose nonR when it's heavier than 10lbs
also, we must choose R when it's lighter than 10lbs

7.5lbs - lighter than 10lbs. no need to calculate. -> choose R
15lbs - heavier than 10lbs. no need to calculate. -> choose nonR
22.5lbs - heavier than 10lbs. no need to calculate. -> choose nonR
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The second question solutions are difficult to understand , is there any other to understand it? please help
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shriyaapathi
The second question solutions are difficult to understand , is there any other to understand it? please help

Say N is the number of nonrefrigerated boxes.

Since there are 20 boxes in total in each statement, the refrigerated boxes are (20 - N). The cost to ship those refrigerated boxes is 80 + 15 * (20 - N) * 1.5, and it is the same in both options, so we ignore it. We only compare the nonrefrigerated part, which weighs N * 1.5.

In Option A, that weight ships nonrefrigerated: 50 + 10 * (N * 1.5).
In Option B, it ships refrigerated: 15 * (N * 1.5).

At N * 1.5 = 10 both cost 150.
If N * 1.5 < 10 choose B.
If N * 1.5 > 10 choose A.

Row 1: N = 5, weight = 5 * 1.5 = 7.5 so B
Row 2: N = 10, weight = 10 * 1.5 = 15 so A
Row 3: N = 15, weight = 15 * 1.5 = 22.5 so A

Answer: B, A, A
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