<u>Answer</u>
In order to minimize total cost sell A type 40 numbers and B type 90 numbers
<u>Solution</u>
furniture store sells two types of dining room tables.
The first, type A, costs $210 and you make a $21 profit on each one.
The second, type B, costs $180 and you make a $20 profit on each one.
We can order no more than 130 tables this month, and you need to make at least $2640 profit on them.
Let x be the number table Type A sold, type B sold = 130-x
To find the value of x
21x +(130-x)20=2640
solving we get x=40
There are two possibilities
1)
A type sold =40 B type sold = 130 - 40 =90
total cost = 40 x 210 + 90 x 180 = 24600
2)
A type sold =90 B type sold = 130 - 90 =40
total cost = (90 x 210) + (40x180)=26100
In order to minimize total cost, choose first possibility
sell A type 40 numbers and B type 90 numbers
