Sometimes manufacturers give more than one discount instead of a single trade discount--for example, in trading with large-volume retailers. Such a series discount is quoted as a sequence of discounts, taken one after another. Suppose a manufacturer normally gives a trade discount of 45%, but it has too much of the item in inventory and so wants to sell more. In this case, the manufacturer may give all retailers another discount of 15% and may perhaps extend yet another discount of 10% to a specific retailer it wants to land as a client. In this example, the series discount would be 45%, 15%, 10%, calculated one after another, like this: For an item with a suggested retail price of $100.00, applying the first discount gives 100.00 - 45% 100,00 - 55.00 dollars. The second discount of 15% is applied to the $55.00 as follows: 55.00 -15% 55,00 - 46.75 dollars. Now the third discount gives the final cost price of 46.75 -10% x 46.75 -42.08 dollars. (a) Suppose an item has a suggested retail price of $50.00 and the manufacturer is giving a series discount of 35% and 10%. What is the resulting cost price? (Round your answer to two decimal places.) $ (b) Suppose an item has a suppested retail price of $100.00 and the manufacturer is giving a series discount of 25%, 20%, 6%. What is the resulting cost price? (Round your answer to two decimal places.) s (c) What single trade discount would give the same cost price as a series discount of 25%, 20%, 6%? (Note: The answer is not 51%. Round your answer to two decimal places.) (d) Explain why we could have calculated the same answer as in part (1) by multiplying 100.00 X 0.75 x 0.8 x 0.94 In this case, what do the 0.75, 0.8, and 0.94 represent