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- QUESTION 2 a) b) Ferrero Candy Company makes three types of candy, which are solid, fruit and cream- filled and packages these candies in three assortments. A box of assortment I contains 4 solids, 4 fruits and 12 creams. While, a box of assortment II contains 12 solids, 4 fruits and 4 creams. Lastly, a box of assortment III contains 8 solids, 8 fruits and 8 creams. The company can manufacture up to 4800 solids, 4000 fruits and 5600 cream candies weekly. The profit each box of assortment I, II and III are RM4, RM3 and RM5 respectively. The company wishes to maximize its profit. Formulate the problem as a linear programming model. A manufacturing company produces three types of products (R, S and T). The following is an incomplete final simplex tableau for a linear programming maximization problem. X₁, X₂ and X3 represents the units of products R, S and T, respectively. S₁, S2 and S3 are the slack variables for Resources 1, 2 and 3, respectively. i. ii. A 5 4 Basic X₂ X3 X₁ Zj Cj-Zj X₁…Question 65 Questions 61-65 are based on the following information: In the economy of Rohan, there are two firms for which domestic consumers (households) are the only shareholders: a wheat producer (Firm W) and a bread producer (Firm B). Domestic consumers own/supply all the labor services in this economy. Wheat is an input in the making of bread. In the current year, Firm W produced 60,000 bushels of wheat, sold 35,000 bushels to the bread producer at $3 per bushel, and exported 25,000 bushels at $3 per bushel. Firm W pays $50,000 in wages to domestic consumers, and $25,000 in interest (income) on a loan it borrowed from domestic consumers. Firm B produced 50,000 loaves of bread and sold all of it to the domestic consumers at $4 per loaf. Firm B paid domestic consumers $25,000 in wages, and $35,000 in interest (income) on a loan it borrowed from the domestic consumers. h addition to the 50,000 loaves of bread domestic consumers bought from Firm B, they imported and consumed 10,000…Enabled: Chapter 3 Linear Programming: Formu. 0 Help Save & Exit Submi Saved O Quiz Tools 100% A plumbing repalr company has 9 employees and must choose which of 9 jobs to assign each to (each employee is assigned to exactly one job and each job must have someone assigned). a. How many decision varlables will the linear programming model include? Collapse Number of decision variables b. How many fixed requirement constraint will the linear programming model include? Number of fixed requirement constraints R E K
- Question 1: Assume that you own and operate a business. Your production this year was based on prior years' experience. You have been left, however, with 100,000 unsold units on hand. You have been selling your product at $5 each and expected the same price for these 100,000 units. You have exhausted all avenues you can think of for disposing of your excess product. You do not have the storage capacity for keeping these units in inventory while you continue production. This morning a giant retail organization contacted you urgently seeking the type of product you produce to fill deficits in their supply. They offer to pay you $3 per unit. 1. How would you assess whether or not you should negotiate? Identify the factors you would consider and give reason for their consideration. [YOU MUST GIVE THE REASON FOR CONSIDERATION OF EACH FACTOR SEPARATELY OTHERWISE YOUR ANSWER WILL NOT BE ACCEPTABLE] 2. What factors can you readily identify that will affect your negotiation options and…Q. Cypress River Landscape Supply is a large wholesale supplier of landscaping materials in Georgia. Cypress River's sales vary seasonally; sales tend to be higher in the spring months than in other months.a. Suppose Cypress River estimates a linear trend without accounting for this seasonal variation. What effect would this omission have on the estimated sales trend?b. Alternatively, suppose there is, in fact, no seasonal pattern to sales, and the trend line is estimated using dummy variables to account for seasonality. What effect would this have on estimation? Thank you for providing answer.Question A firm that assembles refrigerators and stoves is about to start production of new models of each. Each model will require assembly time, inspection time, and storage space. The amounts of each of these resources that can be devoted to the production of the items is limited. The manager of the firm would like to determine the quantity of each item to produce in order to maximize the profit generated by sales. He has the following data at his disposal: Refridgerators Stoves Profit per unit $60 $50 Assembly time per unit 4 hours 10 hours Inspection time per unit 2 hours 1 hour Storage space per unit 3 cubic feet 3 cubic feet Other information Resource Amount of time available Assembly time 100 hours Inspection time 22 hours Storage space 39 cubic feet Questions - •Identify the feasible solution space. •At which point will profit be maximized?
- QUESTION 8 If a price ceiling is binding in a given market, the effect on demand for inputs is: decreased increased no effect indeterminate QUESTION 9 If a price ceiling is binding in a given market, the effect on supplier profits through quantity demanded is: decreased increased no effect indeterminateCase information: Globo Gym Services Pty Ltd is a provider of maintenance services for commercial gym equipment. Gyms throughout Australia engage Globo Gym Services to maintain their gym equipment. As a company specialising in gym equipment maintenance, Globo Gym is able to provide clients with efficient and timely repairs, more cost efficiently than gyms could otherwise undertake through employing their own staff. The COVID-19 pandemic has hit gyms particularly hard, with lock downs forcing gym closures across different states in Australia. For Globo Gym Service, this has meant that clients have cut back requesting equipment maintenance and reduced system maintenance requests as much as possible. Many clients are experiencing great financial difficulty and have delayed paying amounts owed to Globo Gym Services.Question 1The Rotary Club is holding a pizza sale to finance outreach projects. The Club made an agreement to purchase pizza from Pizza Hut at a 30% discount which the Rotary Club can then resell for a profit. It is expected that of the 500 families in the community, at most 70% will buy pizza. Based on a survey of their personal preferences, the students believe that they should orderno more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. They also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. The standard price (before discount) for the cheese, pepperoni and vegetarian is $12, $15 and $14, respectively. The Rotary Club makes a profit of 10%, 15% and 20%, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. a) Formulate a linear programming model that would determine the optimal solution. An explanation for the derivation of EACH equation should…
- Problem 7-09 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week S4= 1 if the production line is…Additional Question. The XYZ steel company must determine a policy for ordering coal to operate 15 converters. The ordering cost is $85/order and the cost of holding coal is 15% of the purchasing cost. The XYZ has a contract to obtain the coal for $14 per ton for the coming year. Each converter requires exactly 8 tons of coal per day to operate, and the firm operates 300 days per year. a. Determine the optimal quantity of coal to receive in each order. b. Determine the total inventory-related cost associated with the optimal ordering policy c. Optimal number of orders to place per year and number of operating days between orders, based on the optimal ordering. d. The XYZ is now considering to the following discount policy provided by supplier: Order Quantity (tons) 1,000 - 1,999 Price per ton $14 $12 $10 2,000 - 2,999 3000+ Please help the XYZ to determine the amount the firm should order.Question 14 Which of the following is true of decision trees when used to solve a complex problem? They can be converted into truth tables. They can be used only when the decision maker is risk neutral. They provide a useful way to decompose the problem. None of the choices They are used to compute a decision maker's risk tolerance.