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QUESTION I Foriwaa is considering three investments with the returns and various market condition shown below: Data from the stock market indicates that the likelihood that investors will invest during a Boom is $40\%$ and that of recession is $20\%$. The data further indicates that the probability that investors will invest during a depression and the probability that investors will invest during a normal period are the same. a. Compute the expected return and risk of each investment. b. Advise the investor on the investment(s) she should invest in if the investments are Mutually Exclusive. QUESTION 2 Akakpo Ltd uses two machines A and B to manufacture its output. Machine A produces $70\%$ of the total output while machine B produces the rest of the output. $3\%$ of the units produced by A are found to be defective, while $4\%$ of those produced by $\mathrm{B}$ are found to be defective. If a unit is selected at random and found to be defective, what is the probability that it is produced by (a) machine A (b) machine B QUESTION 3 The price of salad is related to quantity demanded as follows: $\mathrm{P}=102-q^2$ and that of a mango is $\mathrm{P}=214-q^3$. Compare the elasticity of demand for salad and mango if quantity demanded is 15 units per GHS. Explain the implication if government expects to raise more indirect taxes. QUESTION 4 The demand function of a product is given as $\mathrm{P}=-23x^2+10$. i. Calculate the elasticity of demand if the quantity is 9 units. ii. Advise the producer on her pricing policies. iii. Advise the government whether or not to impose indirect taxes.

Use las energias libres de formación para calcular la constante de equilibrio (K) para la siguiente reacción a $298\mathrm{K}$. $\begin{array}{ccccc}2{\mathrm{HNO}}_3(\mathrm{aq})+\mathrm{NO}(g)\to 3& \mathrm{NO}2(g)+{\mathrm{H}}_2\mathrm{O}(I)& \mathrm{K}=?& & \\ \Delta {\mathrm{G}}^{\circ }\mathrm{f}(\mathrm{kJ}/\mathrm{mol})& -110.9& 87.6& 51.3& -237.1\end{array}$ Coloque los siguientes compuestos en orden ascendente con relación a entropia molar a 298K. $\begin{array}{lll}{\mathrm{CO}}_2& {\mathrm{C}}_3{\mathrm{H}}_8& ;0\end{array}$ Los siguientes datos fueron medidos durante un estudio de cinética para la reacción ${\mathrm{NH}}_4+(\mathrm{ac})+{\mathrm{NO}}_2-(\mathrm{ac})\to {\mathrm{N}}_2(\mathrm{g})+{\mathrm{H}}_2\mathrm{O}(\ell )$ De acuerdo a estos, la ley de rapidez para esta reacción es: Calcule el $\Delta {\mathrm{G}}^{\circ }$ de la reacción hipotética a continuación (en $\mathrm{kJ}/\mathrm{mol}$ ). Use los valores de $\Delta {\mathrm{H}}^{\circ }$ f y ${\mathrm{S}}^{\circ }$ que corresponden a cada sustancia en la reacción.

An electric train operates on $800\mathrm{V}$. What is its power consumption when the current flowing through the train's motor is $2,190\mathrm{A}$ ? w.

4) Why is the following compound not aromatic? A) It is not cyclic. B) It has $4n+2$ pi electrons. C) The pi electron system is not continuous. D) It has $4n$ pi electrons. What is the major organic product of the following reaction? II III A) Only II B) Only I C) Only I and II D) Only III