Question 164510
What'd you get???
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Let S be the number of small pizzas, L the number of large pizzas.
The profit equation is
{{{P=1.50*S+2.15*L}}}
The bounding lines for the feasible region are,
{{{70<=S<=90}}}
{{{100<=L<=140}}}
{{{S+L=210}}}
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The x-axis is the number of small pizzas.
The y-axis is the number of large pizzas. 
The black lines are the min and max values for each pizza type.
The red line is the max number of pizzas able to be made total.
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{{{drawing( 300, 300, -15, 95, -15, 145,grid( 1 ),circle( 70, 100, 2 ),
circle(90,100,2),
circle(70,140,2),
circle(90,120,2),
 line(-20,100,200,100),line(-20,140,200,140),line(70,-10,70,200),line(90,-10,90,200),graph( 300, 300, -15, 95, -15, 145,  210-x) )}}}
The vertices of the feasible region are shown as circles.
The min and max of the profit equation will occur at the vertices.
The coordinates for the vertices are
1.(70,100)
2.(70,140)
3.(90,100)
4.(90,120)
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{{{P[1]=1.50*70+2.15*100=105+215=320}}}
{{{P[2]=1.50*70+2.15*140=105+301=406}}}
{{{P[3]=1.50*90+2.15*100=135+215=350}}}
{{{P[4]=1.50*90+2.15*100=135+258=393}}}
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Max profit is $406 with 70 smalls and 140 larges. 
Min profit is $320 with 70 smalls and 100 larges.