Question
1. The owner of large tracts of lands in a particular province expects the value of his land to appreciate at a rate of 10%
1. The owner of large tracts of lands in a particular province expects the value of his land to appreciate at a rate of 10% a year . If his land is now worth P50 per square meter, a. Assuming a biological growth pattern ,set up the model for the price per square meter of the land t years from now. b. How much is a square meter of his land expected to cost five years from now if the trend continues? c. When is the cost expected to reach P85 per square meter? 2. The cost ( C ) of labor in producing a particular unit (x) of a limited commodity known to follow the equation C = 225x-.2345 a. how much will the first unit f the commodity cost in labor alone? b. What is total labor cost of the first three commodities? c. If labor cost P15 per hour ,how many labor -hours would be required For the first three commodities? 3. An appliance firm decided to phase out a certain model of vacuum cleaner. Using the exponential function to describe its declining sales, it employs the equation S( t) = 1000( 2 3 ) t to describe the monthly sales S(t) of the vacuum cleaner t months after the decision is implemented. a. What is the initial monthly sales level? b. Estimate the volume of monthly sales after 4 months have elapsed. c. How many months will elapse before sales are less 10 % of the initial sales level?
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