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The owner wants a 15 percent operating income (before tax) on his initial investment. As an alternative, the owner is considering borrowing $60,000 from a bank at a 10 percent interest rate instead of using his own money for the investment. Rather than purchasing $40,000 of the needed equipment, it would be rented at a cost of $10,000 per year. Analyze each alternative, (1) using invested capital or (2) borrowing $60,000, and renting some of the equipment. Calculate the annual sales revenue needed to provide operating income (before tax) of 15 percent of the initial investment. Recommend to the owner how to finance the operation. P8.12 A resort hotel has total annual sales revenue of $1,000,000, variable costs of $350,000, and fixed costs of $570,000. The fixed costs include $80,000 a year for land rental lease. a. Calculate the hotel s breakeven point. b. If the owners had an equity investment in the hotel of $1,200,000, what level of sales revenue is required for an operating income (before tax) representing a 12 percent return on their investment c. In a renegotiation of the land lease, the landowner has offered management an alternative to the current fixed lease currently being paid. The alternative is 10 percent of the resort s contribution margin. i. If management accepts this proposal, what would be the resort hotel s new breakeven point ii. Calculate the indifference point. iii. Explain whether management should accept this proposal if next year s total sales revenue is expected to be $1,200,000 iv. Should management accept this proposal if next year s total sales revenue is expected to be $1,400,000

Contract cleaning: Fixed. Licenses: Fixed. Other operating expenses: Directly variable with total sales revenue. Administrative and general: Fixed. Marketing: Fixed. Utilities costs: $3,100 fixed, the remainder directly variable with total sales revenue. Insurance: Fixed. Rent: Fixed. Interest: Fixed Depreciation: Fixed. a. Refer to the income statements in Cases 2 and 3 and calculate the restaurant s total variable costs as a percentage of total sales revenue. b. Calculate the restaurant s total fixed costs. c. Calculate the restaurant s breakeven sales revenue and also express the breakeven in terms of the number of guests (using the average check from Case 3).

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The condition H (X ) log2 (M) can be veri ed in the following manner: Let Q 1 , Q 2 , . . . , Q M be arbitrary probability values that are used to replace terms 1/Pi by the terms Q i /Pi in the expression of the entropy [equation (5)]. Then the following inequality is used: ln(x) x 1 where equality occurs if x = 1 (see Figure 1.3).

PERSONAL COMMUNICATIONS SERVICES (PCS)

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8 > 0; for y < 8 > < y 8 F Y y ; for 8 y > > 9 : 1; for y > 17 8 > 0; for > >y 1 > > > ; < 9 f Y y >5 y > > > > 9 ; > : 0; for 8 < f Y y 1

Age Range (Years) 13 18 17 23 18 42 19 33 19 32

where y y1 ; y2 ; . . . ym T is the m-dimensional output of the MIMO eTS ; c l1 xT ; l2 xT ; . . . ; ln xT T denotes the fuzzily weighted extended inputs vector, x 1; x1 ; x2 ; . . . ; xn T ; q g 1 T ; g 2 T ; . . . ; g R T T is the vector of parameters of 2 i 3T a01 . . . ai0m the rule base; and g i 4 . . . . . . . . . 5 denotes the matrix of consequent part ain1 . . . ainm parameters (parameters of the ith linear local subsystem) assuming m outputs. Note that if use fWTA (2.12), the same expressions will take place but R will have to be substituted for by W. Note also that the time index is dropped for clarity (e.g., y cT q instead of yk cT qt ). k

combination with Darwin s own early experimental studies of infants emotional and perceptual abilities, paved the way for later scienti c analysis of children s development G Stanley Hall (1844 1924) was a cofounder and rst president of the American Psychological Association and the founder of the rst professional journal on development, Pedagogical Seminary In 1909, Hall, as president of Clark University, invited Sigmund Freud to an international conference involving American and European psychologists and psychoanalysts This was a landmark meeting; it introduced Freud and his psychoanalytic ideas to an American audience, and those ideas shaped the thinking of developmental scholars in the United States for the next half century As a theorist and methodologist, Hall made more limited contributions (see Ross, 1972; White, 1992).

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