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10.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. Draw the graph showing the feasible region.

Short Answer

Expert verified

OABC is a feasible region of the given system of inequalities

Step by step solution

01

Step 1-Apply the concept of plotting a point on graph paper

Graph the inequalities, c+3l≤56and4c+2l≤104.Where c and ‘l’ are the quantities of canvas and leather tote respectively. We plot ‘c’ on the x-axis and ‘l’ on the y-axis

For, c+3l≤56

c820−2l161218

For 4c+2l≤104

c262016l01220

02

Step 2-Plot the corner point and draw the feasible region

03

Step 3-Find the common region of inequalities

From the graph we can see that the feasible region is a ABCO quadrilateral which is bounded region.

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