Question

The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?Required to answer. Multi Line Text.

Answer 1

$\begin{gathered} \text{Lone star:} \\ C_1=2P+14 \\ \text{Discount company:} \\ C_2=1.50P\text{ +20} \\ \text{where C is the cost and P the pounds} \end{gathered}$$\begin{gathered} \text{Now, the charge is the same when:} \\ C_1=C_2 \\ \text{this implies that} \\ 2P+14=1.50P+20 \\ \text{hence} \\ 2P-1.50P=20-14 \\ 0.5P=6 \\ P=\frac{6}{0.5} \\ P=12 \\ \text{HENCE, THE SAME CHARGE OCUrrs when P=12 pounds} \end{gathered}$