Q14. - Algebra 2

Question

14.The students is the future Homemaker club are making canvas tote bag and leather tote bags for a money making project. They will line both type of tote bags with canvas and use leather for the handle of both bags .For the canvas tote bags, they need 4 yards of canvas and 1 yard of leather for the leather tote bags, they need 3 yard of leather and 2 yard of canvas their faculty advisor has purchased 56 yard of leather and 104 yard of canvas. What is the maximum project?

Step-by-Step Solution

Answer

The maximum project is 820

Step 1-Calculate the value of f ( c , l )

$\begin{array}{ccc}(c,l)& 20c+35l& f(c,l)\\ (0,0)& 20\left(0\right)+35\left(0\right)& 0\\ (26,0)& 20\times 26+35\times 0& 520\\ (20,12)& 20\times 20+35\times 12& 820\\ (0,18.66)& 20\times 0+35\times 18.66& 653.1\end{array}$

Step 2- Find the maximum value of f ( c , l )

We can see from the above data that the maximum value of $f(c,l)$ is $820$ that is maximum project is $820$.