Mr Wade imports and sells carbon road bikes and carbon mountain bikes. He sells at least 6 road bikes per week
and the ratio of road bikes to mountain bikes is at less than 5:2

The company manufacturing these bikes for Mr Wade has advised that each road bike takes 2.5 hours to make
and each mountain bike takes 4 hours to make. Under contract Mr Wade has hired the company's service for a
maximum of 40 hours a week. The profit on a road bike sale is $237 while on a mountain bike is $285.
Being a maths teacher, Mr Wade knows that linear programming is the best way to determine how many of each
bike to import sell to maximise profits.

a) Define your variables and list the system of inequalities for this question

c)  Conclusion:

The system of inequalities is:

Explanation:

1. Define the variables

2. List the system of inequalities

a) Time: maximum 40 hours a week

   i) From "each road bike takes 2.5 hours to make":

   ii) From "each mountain bike takes 4 hours to make""

   iii) Constraint:

b) Natural constraints:

Neither r nor m can be negative:

c)  Conclusion:

The system of inequalities is:

54

step-by-step explanation:

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.