An insurer sells a one-year policy to many people with the following loss distributions:Size of loss Probability of loss50,000 0.00530,000 0.0110,000 0.025,000 0.050 0.915Assume:1) The fair premiums, the administrative expenses and the profit loading are all paid at the beginning of the year;2) The claims are paid one year later;3) The interest rate is 8%;4) The administrative expenses are assumed to be 10% of the fair premiums;5) The profit loading is assumed to be 5% of the expected claim costs. Find the fair premium for the policy.

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

Match each of the terms below with an example that fits the term. a. fungibility the production of gasoline b. inelasticity the switch from coffee to tea c. non-excludability the provision of national defense d. substitution the demand for cigarettes

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?