Please answer this with explanation

908 Q I 1 '' \"85.1! .i 23%- 39:11 BA 424_2...ignmenti Subiect: BA 424 26922 Management Science Assignment I Please read Chapter 1 and answer the following: 1. Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. 2. The Rolling Creek Textile Mill produces denim. The xed monthly cost is $21,000, and the variable cost per yard of denim is $0.45. The mill sells a yard of denim for $1.30. a) For a monthly volume of 18,000 yards of denim, determine the total cost, total revenue, and prot. b) Determine the annual break-even volume for the Rolling Creek Textile Mill. 3. A retail store in Honolulu, Hawaii, receives shipments of a particular product from Detroit and Boston. Let x = number of units of the product received from Detroit y = number of units of the product received from Boston a) Write an expression for the total number of units of the product received by the retail store in Honolulu. b) Shipments from Detroit cost $0.30 per unit, and shipments from Boston cost $0.35 per unit. Develop an obiective function representing the total cost of shipr to Honolulu. c) Assuming the monthly demand at the retail \\ nal .I 230/0- denim, determine the total cost, total revenue, and prot. b] Determine the annual break-even volume for the Rolling Creek Textile Mill. 3. A retail store in Honolulu, Hawaii, receives shipments of a particular product from Detroit and Boston. Let x = number of units of the product received from Detroit v = number of units of the product received from Boston a) Write an expression for the total number of units of the product received by the retail store in Honolulu. b] Shipments from Detroit cost $0.30 per unit, and shipments from Boston cost $0.35 per unit. Develop an objective function representing the total cost of shipments to Honolulu. c) Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Honolulu. d) No more than 4000 units can be shipped from Detroit, and no more than 3000 units can be shipped from Boston in a month. Develop constraints to model this situation. e) Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Honolulu retail store at minimum cost. (Answer sheets will be collected in the next FTF class schedule.) \"I C] <