Question: An open-top rectangular box is being constructed to hold a volume of 200 in3. The base of the box is made from a material costing

An open-top rectangular box is being constructed to hold a volume of 200 in3. The base of the box is made from a material costing 7 cents/in2. The front of the box must be decorated, and will cost 10 cents/in2. The remainder of the sides will cost 2 cents/in2.Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places.

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!

4.3 1. Find the critical point of the function f(x,y)=53x+7x 2 2yy 2 2. An open-top rectangular box is being constructed to hold a volume of 150 in 3 . The base of the box is made from a material...

An open - top rectangular box is being constructed to hold a volume of 3 5 0 in 3 . The base of the box is made from a material costing 7 cents / in 2 . The front of the box must be decorated, and...

I need help with this question! g i An open-top rectangular box is being constructed to hold a volume of 400 in3. The base of the box is made from a material costing 8 cents/in2. The front of the box...

please assist An open-top rectangular box is being constructed to hold a volume of 400 in3. The base of the box is made from a material costing 7' centsiinl. The front of the box must be decorated,...

An open-top rectangular box is being constructed to hold a volume of 300 in3. The base of the box is made from a material costing 5 centslinz. The front of the box must be decorated, and will cost 9...

An open-top rectangular box is being constructed to hold a volume of 200 in. The base of the box is made from a material costing 7 cents/in. The front of the box must be decorated, and will cost 11...

An open-top rectangular box is being constructed to hold a volume of 200 in'. The base of the box is made from a material costing 5 cents/in . The front of the box must be decorated, and will cost 11...

for more info clear steps and explanation thank you An open-top rectangular box is being constructed to hold a volume of 150 in'. The base of the box is made from a material costing 5 cents/in. The...

please clear steps and explanation for more understanding thank you An open-top rectangular box is being constructed to hold a volume of 150 in. The base of the box is made from a material costing 7...

clear steps would be helpful thank you An open-top rectangular box is being constructed to hold a volume of 350 in'. The base of the box is made from a material costing 7 cents/in . The front of the...

Repeat Prob. 1191 assuming the compressor has an isentropic efficiency of 75 percent. Also, determine the rate of energy destruction associated with the compression process in this case. Take T0 -...

Assume that the value of a call option using the Black Scholes model is $8.94. The interest rate is 8 percent, and the time to maturity is 90 days. The price of the underlying stock is $47.38, and...

41-year-old man is being evaluated for possible ADHD. What form of questions would best help you to gauge the severity of his symptoms

Wangshu puts $40000 in a savings account paying interest rate (2) = 8%. He withdraws the money after 34 months. How much money is in his account using a) the "Greedy Bank" method b) the "Practical"...