# math 11

posted by .

Please help this question is from my unit on linear programing and I'm having trouble completing it.
A company manufactures bicycles and tricycles. The total number of frames the company manufactures cannot exceed 80 per month. It takes the company 1 hour to assemble a bicycle and 2 hours to assemble a tricycle. The assembly machine is only available for 100 hours each month. If the company makes a profit of \$50 on each bicycle and \$70 on each tricycle, determine the number of bicycles and tricycles that will maximize profits each month. Indicate the maximum profit the company can make each month.
This is what I have so far: x=#of bicycles y=#of tricycles
x>=0 y>=0 P=50x +70y
Now I don't know what to do. Any help would be greatly appreciated. Thanks

• math 11 -

You need

b+t </= 80 (frames limit)

b + 2 t </= 100 (machine hour limit)

graph those t on x axis, b on y axis

they cross at
(80-t)+2 t = 100
t = 20
b = 60
look at resulting quadrilateral including axes, must be inside it

so we have three realistic (t,b) points
(0,80)
(20,60)
(50,0)
check
p = 70 t + 50 b
at those three points
which gives max p?

## Similar Questions

1. ### Math Algebra 2

An electronics company manufactures personal tape players on which it makes a profit of \$28 each and personal CD players where the profit is \$33 each. The company intends to produce at least 60 tape players and 100 CD players per day …
2. ### Algebra 2

A company manufactures bicycles in 8 different styles. Each style comes in 7 different colors. How many different bicycles does the company make?
3. ### accounting

"Harris Company manufactures and sells a single product. A partically completed schedule of the company's total and per unit cost over the relevant range of 30,000 to 50,000 per units produced and sold are: United produced and Sold: …
4. ### math (linear programing problem)

Please help this question is from my unit on linear programing and I'm having trouble completing it. A company manufactures bicycles and tricycles. The total number of frames the company manufactures cannot exceed 80 per month. It …
5. ### math

a company manufactures a toy at a cost of Rm2 per unit and sells them for Rm x per unit.if the number sold is 800/x^2 per month,find the value of x for which the company could expect to maximise its monthly profit.
6. ### math

a company will make \$150000 profit if it manufactures 1000000 items and \$1750000 profit if it manufactures 500000 items. the relationship bewteen the number of drives manuactured and the profit is a linear. write an equation that gives …
7. ### math

The Math-Is-Fun T-shirt Company manufactures and sells screen-printed t-shirts. The fixed costs of operation for the company are \$75,750 per month. T-shirts are sold to wholesale buyers for \$8.99 each, but only cost the company \$3.20 …
8. ### math

a cycle company make bicycles, tricycles an unicycles. Last week they made 120 more bicycles than unicycles, and 4 times as many tricycles as unicycles. If they made 75 more bicycles than tricycles, how many unicyles did they make?