Suppose you invest in 100 shares of Harley-Davidson at $60 per share and 300 shares of Yahoo at $25 per share. Over the next year, the price of Harley-Davidson increases to $90 and the price of Yahoo decreases to $15 per share.

(a)What is your profit (in $) from the portfolio?

$

(b)Using your answer in part (a), calculate the return on your portfolio (as a percent).

%

(c)What is the return on your investment in Harley-Davidson stock (as a percent)?

%

(d)What is the return on your investment in Yahoo stock (as a percent)?

%

(e)What are the weights (in decimals) of Harley-Davidson and Yahoo in the portfolio at the beginning of the year? (Round your answers to three decimal places.)

Harley-Davidson

Yahoo

(f)

A portfolio is a collection of assets. Therefore, the return of a portfolio can also be expressed in terms of the realized returns of each asset in the portfolio and the weight of each asset. Using this idea, compute the realized returns (as a decimal) of the portfolio (this is the approach used by investors and one that we will use for the remainder of the problems). (Round your answer to two decimal places.)

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Exercise 18-15 sheffield appliance center is an experienced home appliance dealer. sheffield appliance center also offers a number of services for the home appliances that it sells. assume that sheffield appliance center sells ovens on a standalone basis. sheffield appliance center also sells installation services and maintenance services for ovens. however, sheffield appliance center does not offer installation or maintenance services to customers who buy ovens from other vendors. pricing for ovens is as follows. oven only $790 oven with installation service 850 oven with maintenance services 970 oven with installation and maintenance services 990 in each instance in which maintenance services are provided, the maintenance service is separately priced within the arrangement at $180. additionally, the incremental amount charged by sheffield appliance center for installation approximates the amount charged by independent third parties. ovens are sold subject to a general right of return. if a customer purchases an oven with installation and/or maintenance services, in the event sheffield appliance center does not complete the service satisfactorily, the customer is only entitled to a refund of the portion of the fee that exceeds $790. assume that a customer purchases an oven with both installation and maintenance services for $990. (b) indicate the amount of revenue that should be allocated to the oven, the installation, and to the maintenance contract.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.