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    "# Ski Patrol\n",
    "## Problem Definition\n",
    "Ski Patrol Ltd. manufactures two different models of snowboards branded Normal and Deluxe with a weekly production plan and inventory. They sell their material to local shops. The company obtains a profit of 300€ per Normal snowboard and 400€ per Deluxe snowboard.\n",
    "The manufacturing process consists of roughing and polishing. The Normal snowboard model requires 20 minutes of roughing and 2/3 minutes of polishing. The Deluxe snowboard model requires 40 minutes of roughing and 1 minute of polishing. The roughing equipment is available for 1000 minutes per week and the polishing equipment for 800 minutes per week. \n",
    "Ski Patrol has already signed a contract with a local shop called Downhill Racer to deliver 18 Normal snowboards per week.\n",
    "\n",
    "Ski Patrol hires you to formulate a Linear Programming Problem to help them determine the best production mix to maximise benefits.\n",
    "\n",
    "**Write a CLP to maximise profits** "
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    "\n",
    "**Decision Variables**\n",
    "\n",
    "$x_{1}$: Units of Normal snowboards per week\n",
    "        \n",
    "$x_{2}$: Units of Premium snowboards per week\n",
    "\n",
    "**Objective Function**\n",
    "\n",
    "$\\max z = 300·x_{1} + 400·x_{2}$\n",
    "        \n",
    "**Constraints**\n",
    "\n",
    "$20·x_{1} + 40·x_{2} <= 1000$    Roughing process time (minutes) \n",
    "\n",
    "$2/3·x_{1}+x_{2} <= 800$         Polishing process time (minutes)\n",
    "\n",
    "$x_{1} >= 18$                    Contract (Demand) Units\n",
    "\n",
    "$x_{2} >= 0$                     (Physical constraint)  \n",
    "\n",
    "\n",
    "\n"
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