Question

Point A (0,9)
Point B (2,8)
Point C (9,0)
Point D (0,0)
Point E (7,3)

The question asked me to find out which points on this graph ( this topic is about feasible region and sensitivity ) will maximize the profit when the profit function is 40000x + 30000y. I already calculated which x and y coordinates would give me the maximum profit which is Point C $37000 but now the question asks me:

By how much can the amount of available fertilizer be reduced without affecting the maximum total profit?
How do I do it?

Answer 1

$370000 * sry

Answer 2

How does fertilizer come into the picture? is it x or y or something else?

Answer 3

The starting question was this. A farmer has up to 10 hectares of land available to grow cash crops of strawberries and peas. These crops need both water and fertilizer during the growing season. The following table shows the requirements, together with the total amounts of available water and fertilizer.

Strawberries Peas Availability
Water 3megalitre/hectare 2megalitre/hectare 27 megalitres
Fertilizer 2 tonne/hectare 4tonne/hectare 36 tonnes

Answer 4

and x,y represent berries and peas?

Answer 5

yeap

Answer 6

so figure out how much fertilizer you are using
and the difference fro 36 tonnes

Answer 7

How do i figure it out..?

Answer 8

the table tells you how much per hectare for each crop

Answer 9

ohh i see so i got this
7 hectares of strawberries and 3 hectares of peas
which means i need 14 tonnes of fertilister for strawberries and 12 tonnes for peas

Answer 10

yes, so 36-26 = 10

Answer 11

ow is that it? so i can only reduce it by 10 tonnes maximum without affecting the total profit..

Answer 12

?
the question asks
By how much can the amount of available fertilizer be reduced

You are not using all of the available fertilizer, so you don't need it.

Answer 13

ahh ok i see, can u help me with another question if u have time?

Answer 14

post it.