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Assignment #1Business Mathematics • Class 11
Assignment Set 2: Linear Programming & Business Calculus Applications
Solve both problems using rigorous algebraic, graphical, and differential calculus procedures. Show all extreme corner points and testing tables.
Weightage: 20 MarksSuggested Duration: 60 Mins
Part 2.a (6 Marks)Verified Result ✓
Step-by-Step Solution:
Result: Maximum Z = 34 at x = 4, y = 2
Part 2.b (5 Marks)Verified Result ✓
Step-by-Step Solution:
Result: (i) π(Q) = -2Q² + 80Q - 100; (ii) Optimal Q = 20 units; (iii) Max Profit π = Rs. 700
Part 2.c (5 Marks)Verified Result ✓
Step-by-Step Solution:
Result: (i) TC(Q) = 2Q³ - 5Q² + 20Q + 150; (ii) TC at 5 units = Rs. 375
Part 2.d (4 Marks)Verified Result ✓
Step-by-Step Solution:
Result: Excel formulas: =SLOPE(B2:B10, A2:A10), =STDEV.S(C2:C30), =COMBIN(10, 3)