Home Depot wants to buy a new line of fertilizers. Manufacturer A offers a 19/14 chain discount. Manufacturer B offers a 24/12 chain discount. Both manufacturers have the same list price.

I interpret a " 19/14 chain discount" to mean

a 19% discount , followed by a 14% discount

Manufacturer A's final price = (.81)(.86)
= .6966
The equivalent single discount is 1-.6966
or 30.34 %

other dealer's final price = (.76)(.88) = .6688
Sincle discount = 1-.6688 or 33.12 %

Which is the better deal?

Home Depot wants to buy a new line of fertilizers. Manufacturer A offers a 20/10 chain discount. Manufacturer B offers a 26/14 chain discount. Both manufacturers have the same list price.a. What is the percentage of discount for both manufacturers? (Do not round intermediate calculations. Round your final answers to the nearest hundredth percent.)

To compare the discounts offered by Manufacturer A and Manufacturer B, we need to understand what the 19/14 and 24/12 chain discounts mean.

The chain discount represents two discounts given successively. The first number in the chain discount refers to the discount percentage off the list price for the first discount, while the second number represents the discount percentage off the reduced price from the first discount for the second discount.

For Manufacturer A's 19/14 chain discount:
- The first discount is 19% off the list price.
- The second discount is 14% off the reduced price from the first discount.

For Manufacturer B's 24/12 chain discount:
- The first discount is 24% off the list price.
- The second discount is 12% off the reduced price from the first discount.

To determine which manufacturer offers the better discount, we need to calculate the final price after applying the chain discount for both manufacturers.

Let's assume the list price of the fertilizers is $100.

For Manufacturer A:
- The first discount is 19% off $100, which is $19. Therefore, the reduced price is $100 - $19 = $81.
- The second discount is 14% off $81, which is $11.34. Therefore, the final price after both discounts is $81 - $11.34 = $69.66.

For Manufacturer B:
- The first discount is 24% off $100, which is $24. Therefore, the reduced price is $100 - $24 = $76.
- The second discount is 12% off $76, which is $9.12. Therefore, the final price after both discounts is $76 - $9.12 = $66.88.

Comparing the final prices, Manufacturer B offers a better discount with a final price of $66.88 compared to Manufacturer A's final price of $69.66. Therefore, Home Depot should consider purchasing the fertilizers from Manufacturer B.

To compare the chain discounts offered by Manufacturer A and Manufacturer B, let's first understand what a chain discount is.

A chain discount is a series of discounts given by a manufacturer or seller in order to encourage bulk or repeated purchases. It typically involves multiple discount levels that are applied in succession, hence the term "chain."

In this scenario, Manufacturer A offers a 19/14 chain discount, while Manufacturer B offers a 24/12 chain discount. The numbers represent the discount percentages at each level of the chain.

To calculate the total discount offered by each manufacturer, we need to add up the individual discount percentages at each level.

For Manufacturer A:
- The first discount level is 19% off.
- The second discount level is 14% off.

Therefore, the total discount from Manufacturer A is 19% + 14% = 33%.

For Manufacturer B:
- The first discount level is 24% off.
- The second discount level is 12% off.

Therefore, the total discount from Manufacturer B is 24% + 12% = 36%.

So, Manufacturer B offers a higher total discount of 36% compared to Manufacturer A's total discount of 33%.