Graham receives $640,000 at his retirement. he invests x in a twenty-year annuityimmediate with annual payments and the remaining $640, 000 − x is used to purchase a perpetuity-immediate with annual payments. his total annual payments received during the first twenty years are twice as large as those received thereafter. the annual effective interest rate is 5%. find x.

Seattle bank’s start-up division establishes new branch banks. each branch opens with three tellers. total teller cost per branch is $96,000 per year. the three tellers combined can process up to 90,000 customer transactions per year. if a branch does not attain a volume of at least 60,000 transactions during its first year of operations, it is closed. if the demand for services exceeds 90,000 transactions, an additional teller is hired and the branch is transferred from the start-up division to regular operations. required what is the relevant range of activity for new branch banks

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Garfield corporation is considering building a new plant in canada. it predicts sales at the new plant to be 50,000 units at $5.00/unit. below is a listing of estimated expenses. category total annual expenses % of annual expense that are fixed materials $50,000 10% labor $90,000 20% overhead $40,000 30% marketing/admin $20,000 50% a canadian firm was contracted to sell the product and will receive a commission of 10% of the sales price. no u.s. home office expenses will be allocated to the new facility. the contribution margin ratio for garfield corporation is