Explore BrainMass
Share

Explore BrainMass

    Maximizing Profit and Minimizing Surface Area of a Cylinder

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    9) A shop can sell 30 radios at $20 each, per week. For every $1 increase in the price there will be a loss of one sale per week. How much should the shop charge in order to make the maximum profit If the cost to make each radio is $10

    10). A closed can (top and bottom), in the shape of a cylinder, is to hold 2000pi cm^3 of soup. Find the dimensions of the can of the least surface area.

    © BrainMass Inc. brainmass.com October 9, 2019, 8:55 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/maximizing-profit-minimizing-surface-area-cylinder-166779

    Solution Preview

    Problem #9
    Suppose each radio is charged x dollars more, then the selling price is 20 + x dollars each. But it results in x sales lost per weeks. So each weak it can sell 30 - x radios. The cost for these radios is 10(30 - x) dollars. So ...

    Solution Summary

    Maximizing Profit and Minimizing Surface Area of a Cylinder using derivatives is investigated.

    $2.19