Solve the following inequalities:  (i) 5(11 − q) < q+ 49

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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Solve the following inequalities:

 (i) 5(11 − q) < q+ 49

 

 

 (ii) 7m − 3 < 10m + 2         < 8 − 5m

                          3

         (iii) x 2 ≥ 15 − 2?

 

  1. b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of $2. The associated demand function is p= 20 − q.

(i) Obtain an expression for the profit, π (q).

 (ii) Find the range of output which gives a profit of at least $31.

 

  1. c) Use Microsoft Word or Excel to solve the system of linear inequalities:

r + 5t ≤ 5

7t – 2r ≤ 4

 r ≥ 0

(NB: clearly identify the solution set by placing a BIG enough ‘S’ to cover that entire region).

 

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