Question

A certain company sells and ships bulk dried foods using the following pricing scheme. They charge $3 per pound for the first 10 pounds, $1.50 for the next 10 pounds and $.50 per pound for any remaining amount, up to 40 pounds. Shipping charges are $7.50 for packages up to 10 pounds and $12 for packages over 10 pounds. Write a piece-wise function showing the cost f(x) to buy and ship x pounds of dried foods from the company described above. Then, graph the function

Answer 1

f(x) as a piecewise function would be:


f(x) = ($3/lb)x, for 0≤x≤10,
= ($1.50/lb)x, for (10,20], and
= ($0.50/lb)x, for (20,40]
To the above must be added $7.50, [0,10] or $12, (10,40]