A new company Line is producing a new line of Ski boots and the past sales numbers in dollars are shown in the table below. Month Sales (in dollars)

Currently, The company is producing 3 different Ski Boots, The SRACE 130 which retails for $40, SRACE 130 RACE which retails for $60 and SRACE 130 CARBON which retails for $80. The company estimates that 40% of sales come from The SRACE 130, 35% of SRACE 130 RACE and 25% of SRACE 130 CARBON. The bill of material for every ski boot is presented next:

All the ingredients of the boots are identical except the flex. Buckles costs $1 per unit, Footbed costs $5 per unit, Strap cost $1 each. The Flex for SRACE 130 costs $10 per unit, the Flex for SRACE 130 RACE costs $15 per unit and the one for SRACE 130 CARBON costs $20 per unit. Any production run for any component (the Ski Boot included) is a $100 per run. The company uses a holding cost of 20% per year of the components values. Since the competition is fierce, the company decided to put a penalty cost of a $100 per unit per week on lost sales. For simplicity assume that every month has 20 working days where each day consist of 7 hours of regular time and up to 3 hours of overtime. 100 workers are currently employed at the company where they are paid on a monthly basis 1000$ if they dont work overtime. An overtime hour costs 10$ for the company. Hiring a worker cost 400$ for training and firing a worker costs 3000$ dollars. Every Worker can assemble 2 ski-boots per hour. The company wants to plan its production schedule for the next 2 years. All the parts come from a manufacturing facility nearby. Formulate and describe a plan to minimize the companys cost.

Month 1 2 3 4 6 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Sales (in dollars) 47293 59990 59343 44024 43291 16300 12051 3483 2475 14938 26881 69145 90596 121463 260497 142354 141315 44242 43327 15418 10343 71321 171288 314840 453541 510018 805696 530590 516820 161634 31 182891 32 43406 Ski Boot Shell (1) 1 week Strap (3) 1 week Flex (1) 1 week Buckles (4) 1 week Footbed (1) 1 week