1. A carpenter can construct book cases at a cost of P400 each. If the carpenter sells the book cases for x pesos each, it is estimated that 300 - 2x book cases will be sold per month. Express the number of pesos in the carpenter's monthly profit as a function of x. [NOTE: Profit = Total Sales -

Jamal wants to save 54,000 for a down paymenton a home. How much will he need to invest in anaccount with 8.2 APR, compounding daily, in orderto reach his goal in 5 years?

An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost ofPhp 75.00 per sq ft. for the base and Php 25.00 /sq ft for the sides. Find the mosteconomical dimensions.

A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he will return the full price of a shipment of 2000 flashbulbs if “b" or more bulbs are defective. What should the approximate value of "b" be so that he must give the refund on at most 1 percent of the shipments he sells?

Solve. P(- c < Z < c) = 0.9164

A student wishes to earn some pocket money during his semester break. He thinks hard and comes up with the idea of buying early tickets for theater shows and selling them to last-minute customers who cannot find tickets. He can buy early tickets for around 40 TL each. Late customers are usually ready to pay 75 TL per ticket. Normally, unsold tickets are of no value, however, the student has good contacts with the ticket office attendant. So, if the student has left over tickets when the show starts, the attendant at the ticket office pays him 20 TL per ticket. Assume, now that the student wants to be more precise in estimating the demand and keeps a record of demand on each day. After careful analysis, he identifies that his demand obeys the triangular distribution with lower limit a, upper limit b and mode c, where a < b and a ≤c≤ b. Identify the optimum number of tickets in terms of a, b and c to buy for this case by assuming your own data sets.

Anna and Bob are the only residents of a small town. The town currently funds its fire department solely from the individual contributions of these two residents. Each of the two residents has a utility function over private goods ? and total number of firemen ?, of the form: ?(?,?)=2ln?+ln?. The total provision of firemen hired, ?M, is the sum of the number hired by each of the two persons: ?=??+??. Ann and Bob both have income of 200 each, and the price of both the private good and a fireman is 1. They are limited to providing between 0 and 200 firemen. For the purposes of this problem, you can treat the number of firemen as a continuous variable (it could be man-years). Consider the setup from Question 2. The government proposes an alternative, market-based solution. They charge each citizen the price ? for every firemen stationed at the local fire station. Then, the price is being set at a level ?∗ at which each individual demands the socially optimal number of firemen.   What is…

B) What is the variable cost per unit produced ( to 1 decimal) ?

Assume that the supply function for a product Is given by P= 100/In(q+1).  How many units (q), to the nearest unit would be supplied if the price (p) is $29.40?

Find the hourly wage for a person with an income of $51195 who works 38 hours a week for 49 weeks. Take the income 51195 and divide by 38 hours then divide by 49 weeks   Round your answer to 2 decimal places.