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A vehicle routing problem requires that a fleet of vehicles make deliveries to customers within specified time windows.
Each customer j must take delivery between ej and dj, and vehicle i requires time pijk to travel from customer j to customer k.
The objective is to minimize the number of vehicles.
Describe a Benders-based solution method in which the master problem assigns customers to vehicles and the sub problem routes each vehicle.
The sub problem for each vehicle is a traveling salesman problem with time windows. The sub problem can be written with variable indices and the circuit constraint , although it would be desirable to design a metaconstraint specifically for traveling salesman problems with time windows.
The new machine falls into the MACRS 7-year class, has an estimated life of 8 years, it costs $200,000 and RHPS plans to sell the machine at the end of the eighty year for $50,000.
A stock has an expected return of 13 percent, its beta is 1.40, and the risk-free rate is 6 percent. What must the expected return on the market be
Casino.com Corporation is building a $25 million office building in Las Vegas and is financing the construction at an 80 % loan-to-value ratio, where the loan is in the amount of $20,000,000.
You have two choices: the Scion xA, which will cost $22,500 to purchase and which will have OCF of -$2,900 annually throughout the vehicle's expected life of three years as a delivery vehicle; and the Toyota Prius,
Phil can afford $200 a month for 5 years for a car loan. If the annual interest rate is 7.5 percent, how much can he afford to borrow to purchase a car
The equipment originally cost $28 million, of which 80% has been depreciated. Kennedy can sell the used equipment today for $7 million, and its tax rate is 40%. What is the equipment's after-tax salvage value
Patton Paints Corporation has a target capital structure of 25% debt and 75% common equity, with no preferred stock. Its before-tax cost of debt is 13% and its marginal tax rate is 40%.
The book value of ABC `s debt is $575,000,000 {market value is $750,000,000} and the total market value of the firm is $2,640,000,000 {includes market value of preferred shares of $225,000,000}.
All is not lost: You just received an offer in the mail to transfer your $12,000 balance from your current credit card, which charges an annual rate of 19.8 percent, to a new credit card charging a rate of 10.4 percent.
Red Cat Firecrackers is considering whether to build a large or small factory to produce its firecrackers. Regardless of the production method, each bundle of firecrackers sells for $4.00.
Dexter Mills issued 20-year bonds a year ago at a coupon rate of 10.2 percent. The bonds make semiannual payments. The yield-to-maturity on these bonds is 9.2 percent. What is the current bond price
caculate the present value of an annuity with 18 payments of $14000, if the first withdrawal occurs 1 year from now and interest rates are 7%
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