Linear Programming

Hi Sir

I would like to check if my answer to this question is correct.

A company produces two products, Product F and G, using the same resources. The company is determining the production plan for this month where there are resources constraints. It has been established, using a linear programming model and graphical means, that at the point where contribution is maximised, there are two resources used by the company that are binding constraints.

The binding constraints are represented by the following.

Material C: 2F + 3G < 10800
Labour 3F + 2G < 10000

Where F and G represent the units of each product that can be produced

The number of units of product F would be produced under the optimal production plan is:
_____________________ units

The correct answer is 201200

This is my answer but I won’t be able to show the graph

Material: 3F + 3G = 10,800 [ F=0; G=3600]
G=0; F=5400

Labour; 3F+2G = 10000 [F=0; G=5000]
G=0; F=3333

Maximum contribution at point where material line crosses labour line

Mat: 2F + 3G = 10800 (1)
Lab: 3F+2G = 10000 (2)

(1) x 1.5 3F + 4.5G = 16200 (3)
(3) – (1) 0 + 2.5G = 5400
G = 2160

(1) 2F + 6480 = 10800
2F = 4320
F = 2160

Now, I would like to know how the number of units of product F became 201200 produced under the optimal plan?