In 2009, bestselling fiction books in mass-market paperback editions sold for about $8. At the same time, bestselling fiction hardcover editions sold for about $27. A reader wanted to spend about $140 on new books in some combination of paperback and hardcover editions

a) Determine the vertical and horizontal intercepts of the graph of the implied linear function algebraically. (Let p, the number of mass market paperbacks purchased at the average mass market paperback price, be plotted on the horizontal axis, and h, the number of bestselling fiction hardcover editions purchased at the average bestselling hardcover edition price, be plotted on the vertical axis. Round your answers to one decimal place.)

Given that in 2009, bestselling fiction books in mass-market paperback editions sold for about $8. At the same time, bestselling fiction hardcover editions sold for about $27.

Total amt available = 140 dollars

Let p, the number of mass market paperbacks purchased at the average mass market paperback price, be plotted on the horizontal axis, and h, the number of bestselling fiction hardcover editions purchased at the average bestselling hardcover edition price, be plotted on the vertical axis.

Then cost of paper backs = 8p and cost of hardcover editions = 27h

Total cost <140 i.e. [tex]8p+27h\leq 140\\\frac{p}{17.5} +\frac{h}{5.2} =1[/tex]

Hence p intercept = 17.5 and q intercept = 5.2 (after rounded off)