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97年 - 97 淡江大學轉學考_商管組二年級：微積分#55523
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10. Suppose that r(x) = 9x and c(x)=x
3
-6x
2
+ 5x represent the revenue and cost function, respectively, where x represents thousands of units. The production level that maximize profit = ____
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6.
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7. A sum is invested at 15% compounded continuously. How long will it triple?____ (ti： In3 = 1.0986 )
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8. A furniture showroom expects to sell 250 sofas a year. Each sofa costs the store $300, and there is a fixed charge of $500 per order. If it costs $100 to store a sofa for a year, how often should orders be placed to minimize inventory costs?____
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9„ A store can sell 20 bicycles per week at a price $400. each. The manager estimates that for each $10 price reduction she can sell two more bicycles per week. The bicycles cost the store $200 each. Find the price of the bicycles and quantity that maximize profit?____
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計算題（每題10分）必須列出過程,否則不予計分 二、 Sketch the graph of y=x4-4x3 + 10, identify the extrema points and inflection points.
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三、
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25% 1. Two moles of an ideal gas (Cv= 1.5 R) are heated from 300K to 500K and the pressure increases fiom 2.5 atm to 4.0 atm. Calculate the entiopy change for the process.
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25% 2. Consider the reaction that has the mechanism Derive a rate equation for the production of D in terms of concentrations of A and B.
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25% 3. Consider llie reaction If K,, at 300K is 0.00216, calculate Kp at 500K, assuming that △H0 is constant. Data ：
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(16%) (i) Determine the eigenenergies for llie particle.
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