A political candidate wishes to use a combination of x radio and y television advertisements ...

  

27. Politics A political candidate wishes to use a combination of x radio and y television advertisements in his campaign. Each 1-minute ad on television reaches 0.12 million eligible voters, and each 1-minute ad on radio reaches 0.009 million legible voters. The candidate feels that he must reach at least 7.56 million eligible voters and that he must buy at least 100 minutes of investments.

a. Write the inequalities that describes these advertising requirements.

b. Graph the region determined by these inequalities in the context of the application.

31. Production A firm produces three different-size television sets on two assembly lines. The following table summarizes the production capacity of each assembly line and the minimum number of each size TV needed to fill orders.

a. Write the inequalities that are the constraints.

b. Graph the region that satisfies the inequalities and identify the corners.

  

Assembly   Line 1

Assembly   Line 2

Number   Ordered

 

19-in.TV

80   per day

40   per day

3200

 

25-in.TV

20   per day

20   per day

1000

 

35-in.TV

100   per day

40   per day

3400