Ask Question
25 January, 03:31

A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 120 in. What dimensions will give a box with a square end the largest possible volume?

+4
Answers (1)
  1. 25 January, 03:36
    0
    20 in, 40 in

    Step-by-step explanation:

    Let L is the length and W is the width.

    Total distance around, P = 2 L + 2 W = 120

    L + W = 60 ... (1)

    Volume of box, V = W² x L

    V = W² x (60 - W) from equation (1)

    V = 60 W² - W³

    dV/dW = 120 W - 3W²

    It is equal to zero for maxima and minima

    120 W - 3 W² = 0

    W = 40 in

    L = 60 - 40 = 20 in

    Thus, the dimensions of the box is L = 20 in, W = 40 in
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers