# De Exam for Managerial Maths Trimester 1

**Topics:**Optimization, Linear programming, Operations research

**Pages:**3 (641 words)

**Published:**July 12, 2012

SEMESTER 1 SESSION 2012/2013

MULTIMEDIA UNIVERSITY FACULTY OF MANAGEMENT SEMESTER 1 SESSION 2012/2013

BMT 1814 MANAGERIAL MATHEMATICS ASSIGNMENT 1

SUBMISSION

Submission: Latest on 28th July 2012 This assignment will contribute 25% of the overall assessment for this course. It is an individual assignment. Please submit this assignment to the administrative office of FOM (opened on each Saturday). Late submission will lose marks at the rate of 1% of the overall mark per day. The assignment should comprise of: 1. A cover sheet contains your details. 2. The answer and calculation working should be well typed or readable handwriting

BMT 1814 ASSIGNMENT 1 QUESTION 1 i.

SEMESTER 1 SESSION 2012/2013

Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 3x + 4y -22=0. ii. Find an equation of the line passing through (-5, -4) and parallel to the line passing through (-3, 2) and (6, 8). QUESTION 2 A manufacturer has a monthly fixed cost of $100,000 and a production cost of $14 for each unit produced. The product sells for $12/ unit. a. What is the cost function? b. What is the revenue function? c. What is the profit function? d. Compute the profit (loss) corresponding to production levels of 12, 000 and 20, 000 units. QUESTION 3 Solve the following quadratic equations: i. ii.

f ( x) x 2 4 x 4 f ( x) 3 x 2 4 x 2

QUESTION 4 a. For the linear program Max 2x + 3y Subject to x + 2y ≤ 6 5x + 3y ≤ 15 x, y ≥ 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? b. As part of a quality improvement initiative, Consolidated Electronics employees complete a three-day training program on teaming and a two-day training program on problemsolving. The manager of quality improvement requested that at least 8 training programs on teaming and at least 10 training programs on problem solving be offered...

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