Solutions to LP Practice Problems[1] 1. Furnco manufactures desks and chairs. Each desk uses 4 units of wood, and each chair uses 3 units of wood. A desk contributes $40 to profit, and a chair contributes $25. Marketing restrictions require that the number of chairs produced be at least twice the number of desks produced. There are 20 units of wood available. Using the graph below, determine a production plan that maximizes Furnco’s profit. a) Draw isoprofit lines where the total profit equals 125, 150, 175, and 200. Here are the points where the isoprofit lines cross the axes: | |X1 |X2 | |z = 125 |0 |5 | | |3.125 |0 | |z = 150 |0 |6 | | |3.75 |0 | |z = 175 |0 …show more content…
Cells E13:E16 in the answer report indicate that we should invest 25% of the funds in each of the four types. b) What is the expected return on investment from the optimal portfolio? From cell E8 in the answer report, the optimal portfolio will return 14.75% ($73,750). c) What would be the improvement in the return on investment if the limit on the total amount invested in personal loans were increased to 30%? We look at cell E20 in the Sensitivity Report, and see that the shadow price is 1%. That means that for every unit of increase in this constraint’s right-hand side, we will realize a 1% improvement in the objective function. If we change the right-hand side of this constraint from 25% to 30% (a change that is within the allowable increase shown in cell G20 of the Sensitivity Report), then the objective function will increase by 0.05 * 0.01 = 0.0005. Our portfolio return would go from 0.1475 to 0.1480 (from 14.75% to 14.80%). d) If the return on bonds increases from 10% to 13%, what will happen to the optimal allocation of funds? Cell G9 in the Sensitivity Report indicates that the bond return would have to increase by at least 4.5% before the optimal investment mix would change. Since this is only a 3% increase, the portfolio would not change (although it would become more profitable). 4. Sunco Oil manufactures three types of gasoline (gas 1, 2, and 3). Each
For Investment B: (40 – 5)/ 30= 1.16 standard units= close to 88% to get the 40 million in
a. Calculate the expected return over the 4-year period for each of the three alternatives.
a) Assuming the opportunity interest rate is 6%, what is the present value of the second alternative?
Question 6. The mean return for the Vanguard Total Stock Index is 20.8 while the mean return for the Vanguard Balanced Index is 12.9 (with bonds). Based on this data you would conclude that bonds do not reduce the overall risk of an investment portfolio since the mean return was actually less when the porfolio has bonds in
1.00 point A fixed-income portfolio manager sets a minimum acceptable rate of return on the bond portfolio at 4.1% per year over the next 5 years. The portfolio is currently worth $10 million. One year later interest rates are at 5.1%. What is the portfolio value trigger point at this time that would require the manager to immunize the portfolio?
a. What would Mrs. Beach have to deposit if she were to use high quality corporate bonds an earned an average rate of return of 7%.
The Kenton Company processes unprocessed milk to produce two products, Butter Cream and Condensed Milk. The following information was collected for the month of June:
b. What happens to the value of the option if you change it to 30%?
e. Suppose you created a two-stock portfolio by investing $50,000 in High Tech and $50,000 in Collections.
11) By how much would the profit contribution of product A has to increase before it will be profitable to produce A?
6. How would you allocate your wealth between the Treasury bill (risk-free rate) and the
5. With respect to b), what would be the effect of the bondization and equitization overlay program on the expected return of the absolute return portfolio? Which contracts would be the most
If today PSC want to hedge out its 100 value of stock portfolio, assuming beta=1.67, alpha is 3.35%: next year 's value today initial value QQQ+10% QQQ-10% long portfolio 100 100*(1+3.35%+1.67*10%)=120.05 100*(1+3.35%1.67*10)=86.65 short QQQ 167 167*(1-10%)=150.3 167*(1+10%)=183.7 total 267 270.35 270.35 return on hedged portfolio 3.35% 3.35% the theoretical long portfolio value increase (portfolio return)=percentage increase in QQQ(QQQ return)*1.67+3.35%
mix of assets? What benchmark return might they expect for their current level of risk?
3. Due to best historical performance, 15% of the fund should be allocated to Value Fixed Income which is the third highest weight in the portfolio recommended above.