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