LPR Corp. sells two products – X1 and X2 – which are produced using both labor (L) and capital (K). Each unit of X1 consumes 30 labor hours whereas each unit of X2 consumes 20 labor hours
LPR Corp. sells two products – X1 and X2 – which are produced using both labor (L) and capital (K). Each unit of X1 consumes 30 labor hours whereas each unit of X2 consumes 20 labor hours
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1. LPR Corp. sells two products – X1 and X2 – which are produced using both labor (L) and capital (K). Each unit of X1 consumes 30 labor hours whereas each unit of X2 consumes 20 labor hours. Similarly, each unit of X1 requires 5 capital hours whereas each unit of X2 requires 10 capital hours. The total available labor and capital hours is 2700 and 850 respectively. Each unit of X1 yields a per unit profit of $20 while X2 yields a per unit profit of $60. In addition, LPR has a production/materials constraint that requires it to produce a combined total of at least 95 units of the two products.
2. Winston Company sells two computer models – Basic and Ultra. The company sell Basic for $300 and Ultra for $450. The cost of components for Basic is $150 and component cost for Ultra is $225. Labor is required for assembling and testing both models. There are at most 10,000 assembly hours and 3000 testing hours available. Each labor hour for assembly costs $11 and each labor hour for testing costs $15. Basic requires 5 hours for assembly and 1 hour for testing whereas Ultra requires 6 hours for assembly and 2 hours for testing. How many of each type of computer should be produced (assembled and tested) to maximize Winston Company’s profit?
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LPR Corp. sells two products – X1 and X2 – which are produced using both labor (L) and capital (K). Each unit of X1 consumes 30 labor hours whereas each unit of X2 consumes 20 labor hours
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