Please help me out with this: A caretaker had to provide food for 40 people...

Please help me out with this:
A caretaker had to provide food for 40 people he decides to give them a choice of chicken of fish. Each chicken can provide for up to 4 people and each fish can provide for up to 8 people. He decides to use not more than 6 chicken and also that number of fish should not exceed the number of chicken used.
a.) If x is the number of chicken used and y the number of fish, show that the inequality x 2y ≥ 0 (I'm not sure it's 0, you can change it to 20 if 0 doesn't fit) must be satisfied.
b.) Write down two more inequalities which must be satisfied.
c.) Using a scale of 2cm to 1 unit on each axis, draw the graphs of the above three inequalities and shade the region that satisfies all the three inequalities.
d.) If the cost of a fish is #10.00, the cost of chicken is #6.00; use the graph to identify the value of x and y which will give the minimum cost and find this minimum cost.
*You don't need to plot the graph but give guidelines on how to solve (d.)*?

In Mathematics
1 Answers Available
Asked by Oyeniyi on 19th November, 2022