LP Model Formulation Please make sure that your answers in LP Model Formulation are composed of Decision Variables, Objective Function and Constraints. 1. RDB caterer must prepare from five fruit drinks in stock 500 gal of a punch containing at least 20 percent orange juice, 10 percent grapefruit juice, and 5 percent cranberry juice. If inventory data are as shown below, formulate the LP model that will enable RDB caterer to determine how much of each fruit drink to use to obtain the required composition at minimum total cost. Orange Juice,% Grapefruit Juice,% Cranberry Juice,% Supply, gal Cost ($)/ gal Drink A 40 40 200 1.5 Drink B 5 10 20 400 0.75 Drink C 100 100 2.00 Drink D 100 50 1.75 Drink E 800 0.25
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- Francesca’s Boutique has a merchandise budget that includes $53,420 in planned sales for Dresses, $5342 in planned reductions, and $63,762 in planned purchases. The assortment includes 4 sub classifications (Casual (30%), dressy (20%), day-to-night (35%), date night (15%)) with 5styles, 4 colors, 4 sizes (for each sub class). The average first price on the dress is $45. Francesca’s expects to devote about 50 square feet to displaying the dresses in each store (10 stores), and the shirts to generate approx. $107 per square foot during the fall selling period. Markdowns are expected to be 10% of sales. Average Markup is 63%. Based on the information provided: What is the planned volume of the assortment? (Note: Use Planned Merchandise to Receive figures) How many SKUs are in this assortment? What is the model stock for the entire dress assortment?Leather-All produces a line of handmade leather products. At the present time, the company is producing only belts, handbags, and attache cases. The predicted demand for these three types of items over a six-month planning horizon is as follows: Month No. of Belts Handbags Attache CasesWorking days1 22 2500 1250 2402 20 2800 680 3803 19 2000 1625 1104 24 3400 745 755 21 3000 835 1266 17 1600 375 45 The belts require an average of two hours to produce, the handbags three hours, and the attache cases six hours; all the workers have the skill to work on any item. Leather-All has 46 employees who each have a share in the firm and cannot be fired. There are an additional 30 locals that are available and can be hired for short periods at a higher cost. Regular employees earn $8.50 per hour on regular time, and $14.00 per hour on overtime. Regular time comprises a seven-hour workday and the regular employees will work as much overtime as is available. The additional workers are hired for…Omega DB Corp. has a policy of maintaining an inventory of finished goods equal to 40 percent of the next month’s budgeted sales. If Omega DB Corp. plans to produce 6,000 units in June, what are budgeted sales for July in units? Budgeted sales for the first six months of 2019 for Omega DB Corp. are listed below: Units:JANUARY 6,000FEBRUARY 7,000MARCH 8,000APRIL 7,000MAY 5,000JUNE 4,000
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