Use the data in the following table for question Q$6-$Q$9.$

Table $4$

No Promotion

Slow Promotion

Fast Promotion

High Flying Consultant

$90,000$

$100,000$

$500,000$

Data Analyst

$180,000$

$250,000$

$200,000$

Research Assistant

$500,000$

$300,000$

$150,000$

Question $4(10$ points$)$

In choosing between three new jobs, Joe MBA considers the potential payoffs over the next three years. The following table contains the payoffs, given the speed of promotion in each of the organizations. Use the information in Table $4$ and the minimax regret decision rule. The minimax regret is:

a$.$ less than $$320,000$ if the high$-$flying consultant job is selected.

b$.$ less than $$350,000$ if the data analyst job is selected.

c$.$ less than $$340,000$ if the research assistant job is selected.

d$.$ more than $$400,000$ if the research assistant job is selected