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Analyze and solve the following problems. 1. A lash adjuster keeps pressure constant on engine valves, thereby increasing fuel efficiency in automobile engines. The relationship between price p and monthly demand D for lash adjusters made by the Wicks Company is given by this equation: D= (2000-p) What is the demand when 0.10 total revenue is maximized? What important data are needed if maximum profit is desired? SOLUTION:2. A large company in the communication and publishing industry has quantified the relationship between the price of one its products and the demand for this product as Price = 150 - 0.01 x Demand for annual printing of this particular product. The fixed costs per year (i.e., per printing) is Php50,000 and the variable cost per unit is Php40. What is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year? What is the unit price at this point of optimal demand? What is the range of profitable demand per year? SOLUTION:3. The annual fixed costs for a plant are Php100,000, and the variable costs are Php140,000 at 70% utilization of available capacity, with net sales of Php280,000. What is the breakeven point in units of production if the selling price per unit is Php40. SOLUTION:4. A telephone switchboard l pair cable can be made up with either enameled wire or tinned wire. There will be me soldered connections. The cost of soldering a connection on the enameled wire will be Php1J55 and on the nned wire it will he Php1.15. A. lpair cahle made up with enameled wire costs Php.55 per lineal foot and those made up to tinned wire costs Php.?5 per lineal foot. Determine the length of cable run in feet so that the cost of each installation would he the same. Determine also the length of cable at which each alternative is more economical. 1: 50L WON