The base and top are made from reinforced steel and the slides are made out of steel bars. If the total volume should be 1000 ft3, and the sides cost about 5 times less per unit area than the base, what dimensions will minimize the cost of the cage?

The dimensions that will minimize the cost of the cage are: base 5.85 x 5.85 ft and heght 29.2 ft.

Step-by-step explanation:

We have a cage with dimensions x,y,z, with a fixed volume of 1000 ft3.

The sides cost 5 times less per unit of area than the base and top.

The volume can be written as:

The cost function is

The base will be square, so we can simplify as:

The cost become

To minimize the cost, we derive the cost function and equal to zero

The base sides are 5.85 ft.

The height of the box (z) is:

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

109 is the nearest whole number/final answer! : )