I really need help with this calculus question. I ve been struggling to figure it out.
Imagine making a tent in the shape of a right prism whose cross section is an equilateral triangle (the door is on one of the triangular ends). Assume we want the volume to be 2.6m^3, to sleep two or three people. Draw a picture, identifying all the approximate variables. The floor of the tent is cheaper material than the rest: assume that the material making up the ends and top of the tent is 1.6 times as expensive per square meter than the material touching the ground.
A. What should the dimensions of the tent be so that the cost of the materials used is a minimum?
B. What is the total area of the material used?
Now change the problem so that the floor of the tent is more expensive material than the rest: assume that the material touching the ground is 1.4 times as expensive per square meter than the material making up the ends and top of the tent.
C. What should the dimensions of the tent be so that the cost of the material used is a minimum?
D. What is the total area of the material used?
E. How practical would these two tents be?
2 answers
Just change the corresponding number to this problem
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3 answers