A power line is to be constructed from a power station at point A to an island at point C, which is 22 mi directly out in the water from a point B on the shore. Point B is 66 mi down shore from the power station at A. It costs $3000 per mile to lay the power line under water and $2000 per mile to lay the line underground. At what point S down shore from A should the line come to the shore in order to minimizecost? Note that S could very well be B or A University is trying to determine what price to charge for tickets to football games. At a price of $20 per ticket, attendance averages 40,000 people per game. Every decrease of $55 adds 10,000 people to the average number. Every person at the game spends an average of $5.00 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price? An apple farm yields an average of 41 bushels of apples per tree when 23 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield? A sporting goods store sells 135 pool tables per year. It costs $10 to store one pool table for a year. To reorder, there is a fixed cost of $27per shipment plus $20 for each pool table. How many times per year should the store order pool tables, and in what lot size, in order to minimize inventory costs? The store should order nothing pool tables nothing times per year to minimize inventory costs A piece of wire of length 59 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square? To minimize the combined area, the wire should be cut so that nothing are used for the circle and nothing are used for the square