An auto insurance company is implementing a new bonus system. In each month, if a policyholder does not have an accident, they will receive a cash-back bonus of 5 from the company. Among the 1000 policyholder of the auto insurance company, 400 are classified as low-risk drivers and 600 are classified as high-risk drivers. In each month, the probability of zero accidents for high-risk drivers is 0.80 and the probability of zero accidents for low-risk drivers is 0.90. Calculate the expected bonus payment from the company to the 1000 policyholders in one year.

Uestion 7 you hold a portfolio consisting of a $5,000 investment in each of 20 different stocks. the portfolio beta is equal to 1.12. you have decided to sell a coal mining stock (b = 1.00) at $5,000 net and use the proceeds to buy a like amount of a mineral rights company stock (b = 2.00). what is the new beta of the portfolio?

Zachary company produces commercial gardening equipment. since production is highly automated, the company allocates its overhead costs to product lines using activity-based costing. the costs and cost drivers associated with the four overhead activity cost pools follow: activities unit level batch level product level facility level cost $ 64,800 $ 27,730 $ 15,000 $ 154,000 cost driver 2,400 labor hrs. 47 setups percentage of use 11,000 units production of 780 sets of cutting shears, one of the company’s 20 products, took 240 labor hours and 7 setups and consumed 15 percent of the product-sustaining activities. required: (a) had the company used labor hours as a company wide allocation base, how much overhead would it have allocated to the cutting shears? (b) how much overhead is allocated to the cutting shears using activity-based costing? (c) compute the overhead cost per unit for cutting shears first using activity-based costing and then using direct labor hours for allocation if 780 units are produced. if direct product costs are $150 and the product is priced at 30 percent above cost for what price would the product sell under each allocation system? (d) assuming that activity-based costing provides a more accurate estimate of cost, indicate whether the cutting shears would be over- or underpriced if direct labor hours are used as an allocation base. explain how over-or undercosting can affect vaulker's profitability. (e) comment on the validity of using the allocated facility-level cost in the pricing decision. should other costs be considered in a cost- plus pricing decision? if so, which ones? what costs would you include if you were trying to decide whether to accept a special order?

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.