7. Below is a transportation table, Please formulate the complete LP model ( objective function & constraint) To From 1. 4 Supply A 500 750 300 450 12 B 650 800 400 600 17 400 700 500 550 11 Demand 10 10 10 10 40

Food item 1 has 11 units of nutrient 1, 275 units of nutrient 2, and 17units of nutrient 3. Food item 2 has 2 units of nutrient 1, 875 units of nutrient 2, and4 units of nutrient 3. A human desires a constraint of at most 15 units of nutrient 1and 700 units of nutrient 2 among these two food items. How much of each food itemwould maximize the value of nutrient 3?

MJ Mining Company owns three mines and has three different types of ores that is mined. For each ore, the number of tons per day available from each mine and the minimum number of tons required to fill orders are given in the following table. ORE TYPE Iron Lead Nickel Daily Costs 10x + 40y + 15z 0x + 15y + 25z Mine 1 x 10 Minimize Cost = 7100x + 7400y+6400z subject to: 20x+10y+0z 20 $7,100 Let x,y, and z represent the number of days to run Mines 1, 2, and 3 respectively. Type the objective function and the left hand side of each constraint in the following answer boxes. Number of days to run Mine 1 is Number of days to run Mine 2 is Minimum cost is $ Mine 2 Y 40 15 10 $7,400 Number of days to run Mine 3 is > 870 IV 580 Mine 3 Z 15 25 > 400 Determine the number of days to operate each mine that produces the minimum cost and determine the minimum cost. If there is no solution enter 'NONE' in all boxes below. Round days to two decimal places where necessary. $6,400 Required tons 870 580…

consider the production scheduling problem of the perfume polly named after a famous celebrity. the manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in january, february, march, and april, respectively. at the beginning of the year the company has an inventory of 2000 gallons. the company is planning on issuing a new and improved perfume called pollygone in may, so that all polly produced must be sold by the end of april. assume that the production cost for january and february is $5 per gallon and this will rise to $5.5 per gallon in march and april. the company can hold any amount produced in a certain month over to the next month at an inventory cost of $1 per unit. formulate a linear optimization model that will minimize the costs incurred in meeting the demand for polly in the period january through april. assume for simplicity that any amount produced in a given month may be used…