Question

The office needs cabinets. The price for the first type of cabinet is $10, it needs 6 ft2 of floor space, and it has a storage volume of 8 ft3. The price for the second type of cabinet is $20, it needs 8 ft2 of floor space, and it has a storage volume of 12 ft3. The company wants to spend no more than $140 and the office can hold up to 72 ft2 of cabinets. How can the storage volume be maximized?

Answer 1

Answer:

hey!!

is that dollar sign

okay so can you please write this question once more cannot understand actually

Answer 2

Answer:

100

Step-by-step explanation:

Let number of X models be x

Let number of Y models be y

For floor 6x+8y=72

or 3x+4y=36

10x+20y≤140

Volume =8x+12y

Now x+2y≤14

Hence 2x+4y≤28

Volume =8x+12y=8x+108−9x=108−x

2x+4y≤28

2x+36−3x≤28

36−x≤28

x≥8

So volume is maximum when x is minimum =8

So volume =108−8=100