first find slope from points (110,0) and (0,330).so slope is -3
equation is y<=-3x+330
it is 300 tv
and 100 refrigerators
Shipping restrictions. The accompanying graph shows all of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18-wheeler. 300 tv 100 refrigerators
a) Write an inequality to describe this region.
b) Will the truck hold 71 refrigerators and 118 TVs?
c) Will the truck hold 51 refrigerators and 176 TVs?
The Burbank Buy More store is going to make an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the same 18-wheeler? Describe the restrictions this would add to the existing graph.
The next day, the Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restrictions this would add to the original graph.
2 answers
so inequality is 3x+y<=330
for part b)
put x=71 and y=118
so we get 331<=330 which is false
so truck can't hold 71 refrigirators and 118 tvs
for part c.
put x=51 and y=176
so we get 329<=330 which is true.so truck hold 51 ref and 176 TV's
for part b)
put x=71 and y=118
so we get 331<=330 which is false
so truck can't hold 71 refrigirators and 118 tvs
for part c.
put x=51 and y=176
so we get 329<=330 which is true.so truck hold 51 ref and 176 TV's