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The following reaction decomposes via first order kinetics and has a half-life of 17.6 minutes. How long would it take for 0.500 M of A to decrease to 0.300 M? A→ X

The next three (3) questions use a simple product pricing model, where the demand (D) is a linear function of price (P) with the given intercept of 1000 and a slope of -4.

Which of the following (expressed with Excel formula) is the left-hand side (LHS) of the constraint LHS

The facility location model with straight-line distances (i.e., Euclidean Distance) belongs to which one of the following types?

Plutonium-239 is the primary isotope of plutonium used in nuclear energy. If a nuclear reactor has 5.00 grams of Pu-239, how much would remain after 9 half-lives?

The following reaction is thermodynamically favorable (spontaneous) at 45.0 °C: 3 A(g) + 2 X(g) → 2 Z (g) Predict the signs of ∆H, ∆S, and ∆G for this reaction at 45.0 °C.     ∆H ∆S ∆G A – – – B + – + C – + – D + + – E – – +

Based on the graphs above which of the following statements is/are correct Increasing the concentration of the reactant by a factor of 3 (3x) will not affect the rate of the reaction. The half-life of this reaction stays constant as time goes on The reaction is second order with respect to A.

Which of the following statements is/are correct. At equilibrium the concentration of reactants and products stay constant At equilibrium the rate of the forward reaction is greater than the rate of the reverse reaction At equilibrium forward and reverse reaction stop

The reaction shown below, is a second order reaction with rate constant 2.79 x 10-4 M-1 s-1 If the initial concentration of Ru2O3 is 2.50 M how much remains after 10.0 minutes of reaction?

The next five (5) questions use Easy Investments portfolio optimization model with the same spreadsheet shown in some of the questions and based on the following problem. Easy Investments is considering investing in two funds, a bond fund with a 5% expected annual return and 10% standard deviation and a stock fund with a 10% expected annual return and 20% standard deviation. The correlation between the two funds was found to be a negative 70% and the target return is set to 8%. We want to develop the Markowitz quadratic optimization model to find the optimal allocation of investments in the bond and stock funds in such a way that the target return is achieved while the overall portfolio variance is minimized. The worksheet is set up to determine the percentage of bond investment in cell B10, with the reminder (1-B10) representing the calculated stock investment in C10.