Given the below information

Extra rubies if required can be bought at R300 per ruby.

1. How do you maximise profit using solver linear programming?

2. What will the optimal solution be?
3. Suppose that instead of R300, each ruby costs R750. Will Zales still buy extra rubies? If so, will the production plan and profit change?

Nutt’s Nut Company has 500 pounds of peanuts, 100 pounds of pecans, and 50 pounds of cashews on hand. they package three types of 5-pound cans of nuts: Can I contains 3 pounds of peanuts, 1 pound of pecans, and 1 pound of cashews; Can II contains 4 pounds of peanuts, 1/2 pound of pecans, and 1/2 pound of cashews; and Can III contains 5 pounds of peanuts. The selling price is $28 for Can I, $24 for Can II, and $21 for can III. How many cans of each kind should be made to maximize revenue? Set up an LP problem. Do not solve.

A firm is evaluating the alternative of manufacturing a part that is currently being outsourced from a supplier. The relevant information is provided below:

For in-house manufacturing:

For purchasing from supplier:

1. Using this information, find the best decision if the demand is 6,500 parts. Round your answers to the nearest dollar.

   What is the total cost of production: $  
   what is the total cost of outsourcing: $  

   what is the best decision?

1. Determine the break-even quantity at which the firm would be indifferent between manufacturing the part in-house or outsourcing it. Round your answer to the nearest whole number.

The mean cost of domestic airfares in the United States rose to an all-time high of $370 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $100. Use Table 1 in Appendix B.

a. What is the probability that a domestic airfare is $530 or more (to 4 decimals)?

b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)?

c. What if the probability that a domestic airfare is between $320 and $480 (to 4 decimals)?

d. What is the cost for the 4% highest domestic airfares? (rounded to nearest dollar)

Oslo Company prepared the following contribution format income statement based on a sales volume of 1,000 units (the relevant range of production is 500 units to 1,500 units):

3. What is the variable expense ratio?

4. If sales increase to 1,001 units, what would be the increase in net operating income?

5. If sales decline to 900 units, what would be the net operating income?

6. If the selling price increases by $2 per unit and the sales volume decreases by 100 units, what would be the net operating income?

1) Compute the Macaulay duration for a 5-year bond paying annual coupons of 9% and having a yield to maturity of 9.5%.

a. 3.86 Answers: a. 3.86 b. 4.57 c. 5.00 d. 3.78 e. 4.23

2) Which of the following bonds would be cheapest to deliver given a T-note futures price of 90.4697? (Assume that all bonds have semiannual coupon payments based on a par value of $100.)

Answers: a. 9.5-year bond with 4.5% coupons and a yield of 3.5% b. 7.5-year bond with 6.5% coupons and a yield of 7.5% c. 6.5-year bond with 8.5% coupons and a yield of 8%

Please explain with steps, thank you!

Assume there is a duopoly. Assume that the market demand is : P=100-2Q       Assume the good can be produced at a constant marginal cost of 0 and that both firms have the same cost. Assume the firms act like Cournot firms.

1. What is the equation for firm 1’s demand curve?

2. What it the equation for firm 2’s demand curve?

3. What is the equation for firm 1’s reaction function?

4. What is the equation for firm 2’s reaction function?

5. What is the equilibrium price?

6. What is Firm 1’s output and profit? What is Firm 2’s output and profit?

Information:

US can manufacture semiconductors at $45 a piece. The supply curve is horizontal at $45.

Canada can manufacture them at $ 43 a piece. Their supply curve is horizontal at $43.

China can manufacture them at $40 a piece. Their supply curve is horizontal at $40.

The demand for semiconductors is given by P = 100-0.1 Q.

Question:

Fill in the following.

1. A firm has the following relationship between output (Q) and total cost (TC):

1. Say the firm is a perfect competitor. If the market price for its product is $ 60, at what output level will this firm produce at (as a profit maximizer)?

2. At the output level in (a), are firms in this industry making a profit or loss? Will firms enter or exit the market?

3. Say this firm is a monopoly. If the firm maximizes profit where marginal revenue equals $ 30, at what output level will the firm be producing at (as a profit maximizer)?

Today is 1 July 2020, William plans to purchase a corporate bond with a coupon rate of j2 = 4.57% p.a. and face value of 100. This corporate bond matures at par. The maturity date is 1 January 2025. The yield rate is assumed to be j2 = 3.90% p.a. Assume that this corporate bond has a 7.5% chance of default in any six-month period during the term of the bond. Assume also that, if default occurs, William will receive no further payments at all. Calculate the purchase price for 1 unit of this corporate bond. Round your answer to three decimal places.

Select one: a. 103.965 b. 101.339 c. 51.715 d. 54.714