We have solved this LP problem using excel solver. This time, please use python Gurobi to solve the following question:

A food is manufactured by refining raw oils and blending them together. The raw oils come in two categories:

Vegetable oils	VEG 1
	VEG 2
Non-vegetable oils	OIL 1
	OIL 2
	OIL 3

Vegetable oils and non-vegetable oils require different production lines for refining. In any month, it is not possible to refine more than 200 tons of vegetable oil and more than 250 tons of non-vegetable oils. There is no loss of weight in the refining process and the cost of refining may be ignored.

There is a technological restriction of hardness in the final product. In the units in which hardness is measured, this must lie between 3 and 6. It is assumed that hardness blends linearly. The costs (per ton) and hardness of the raw oils are

	VEG 1	VEG 2	OIL 1	OIL 2	OIL 3
Cost	£110	£120	£130	£110	£115
Hardness	8.8	6.1	2.0	4.2	5.0

The final product sells for £150 per ton.

How should the food manufacturer make their product in order to maximize their net profit?