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研究所、轉學考(插大)-微積分
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107年 - 107 東吳大學_暑假轉學生招生考試_資訊管理學系二年級：微積分#105835
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7. Find
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(a)
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4. Let the demand and supply functions for q units of a certain item be p = D(q) = and p = S(q) = , q ＞ 1, where p is in dollars. Its cost function is C(q) = . Find (a) equilibrium quantity； (b) break-even quantity.
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5. Find two nonnegative numbers x and y for which 4x + y = 50, such that x2y is maximized.
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6. Suppose income from an investment starts (at time 0) at $5500 a year and increases linearly and continuously at a rate of $400 a year. Find the capital value at an interest rate of 5% compounded continuously.
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(b)
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(a) Given a program with 10 instructions divided into classes as follows: 10% class A, 20% class B. 50% class C, and 20% class D, which implementation is faster?
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(b) What is the global CPI for each implementation?
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2.(a)
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(b) Convert the decimal number -320 into signed 10-bit binary number in the 2's complement representation.
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(c) Assume that signed numbers are stored in 10-bit words in 2's complement representation. What is the result of ?
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