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

Question

Mathematics

Kenna

14 June, 06:52

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

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Emerson Erickson · 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]