URGENT:Two publishers have offered Dr. Spencer Lewis, a noted dietician, a deal on his new book Don't Dig Your Grave with Your Knife and Fork. The first has offered to pay him $50,000 up front and a $3 royalty for every book it sells. The second has offered to pay $20,000 up front and a $5 royalty for every book it sells. Over what range of sales will Dr. Lewis make more from the deal with the second company than he will from the deal with the first?​

Respuesta :

The range of sales Dr. Spencer Lewis must exceed to profit the most from the second deal is 15,000 sales.

How to find the range of sales that favors Dr. more with the second deal?

To find the range that will benefit Dr. Spencer Lewis the most with the second deal, we must perform the following operation:

  • A. X × 5 + 20,000
  • B. X × 3 + 50,000

We must replace the X with several numbers and buy the result, when the result of operation B exceeds the result of operation A, it means that it will be more profitable.

According to the above, if we replace the X with 15,000, the values will be the same, however, each number that we increase will mean a greater profit in agreement B.

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