7.2 - Formulating the Linear Program
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Practice Questions
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Define linear programming.
💡 Hint: Think about optimization in math.
What does the objective function represent?
💡 Hint: Related to profit in our sweets shop example.
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Interactive Quizzes
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What does linear programming aim to do?
💡 Hint: Think about both contexts in which LP can be applied.
Is the profit function of the sweets shop linear?
💡 Hint: Consider the nature of the profit formula.
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Challenge Problems
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Consider a different sweets shop that produces barfis (100 rupees), halwas (600 rupees), and rasmalais (1300 rupees). The shop can't produce over 600 sweets in total and the demand is up to 300 for halwas and 200 for barfis. Formulate the LP and solve for maximum profit.
💡 Hint: Draw out the constraints to visualize the feasible region.
If a new constraint was added where rasmalai requires three times the milk as halwa, how would that change the feasibility?
💡 Hint: Sketch this new line against your original constraints.
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