Question: A rectangular box is to have a square base and a volume of 18 ft 3 . If the material for the base costs 11

A rectangular box is to have a square base and a volume of 18 ft³. If the material for the base costs 11 cents per square foot, material for the top costs 9 cents per square foot, and the material for the sides costs 15 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

4. [-/1.66 Points] DETAILS TANAPMATH7 2.7.022. MY NOTES ASK YOUR TEACHER Walking Versus Running The oxygen consumption (in milliliter/pound/minute) for a person walking at x mph is approximated by...

A rectangular box is to have a square base and a volume of 18 ft 3 . If the material for the base costs 11 cents per square foot, material for the top costs 9 cents per square foot, and the material...

D Question 8 5 pts A rectangular box is to have a square base and a volume of 80 ft. If the material for the base costs 15 cents per square foot, material for the top costs 35 cents per square foot,...

1. (Maximizing yield) An apple orchard has an average yield of 36 bushels of apples/tree if tree density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 2...

11. MINIMIZING PACKAGING COSTS A rectangular box is to have a square base and a volume of 20 ft. If the material for the base costs 30/ft2, the material for the sides costs 10/ft, and the material...

1. [0.4/1 Points] DETAILS PREVIOUS ANSWERS Math 110 Course Resources - Functions Course Packet on power, polynomial and rational functions For each function, if it is a polynomial, enter the...

Safari File Edit View History Bookmarks Window Help @ Q 8 Wed Sep 8 11:35 PM Safari File Edit Assignment 2.3 - M... View History Bookmarks Window Help a webassign.net How do you tell if a... Homework...

A rectangular box is to have a square base and a volume of 30 ft3. The material for the base costs 26 cents/ft2, the material for the top costs 16 cents/ft2, and the material for the sides costs 18...

Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 2 0 f t 3 . If the material for the base costs $ 0 . 2 0 f t 2 , the material for the sides costs $ 0 . 0 6 f t 2...

A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 15 cents/ftz, the material for the top costs 6 cents/ftz, and the material for the sides costs 16...

A test cross of a female mouse that was heterozygous at the three loci A B C to a male that was homozygous recessive at all three loci resulted in the offspring listed below. + + + 71 + +c 6 +b+ 319...

Consider a labor pooling scenario similar to what we've considered in our in person session. labor supply is fixed at L=10 in the isolated location. there are two possible demand conditions a firm...

The manager of a Food King supermarket is reconsidering his service policies. He currently has six checkers working during the busy period, when customers arrive at the rate of X = 60 per hour, but...

l Chinese Sourcing and the Yuan. Harrison Equipment of Denver, Colorado, purchases all of its hydraulic tubing from manufacturers in mainland China. The company has recently completed a...

An improvement in the exchange of information in negotiations.

1. Effort is important.

2. Set up two points representing the pillars of your values system. Discuss this with the others in the group.