Question $2$ options:

Orders for $3$ products: A $2000$ units, B $500$ units, and C $1200$ units. Three machines are available for the manufacturing operations. all three machines can produce all the products at the same rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Machines $1$ and $2$ have $1500$ unit capacity while machine $3$ only does $1000.$ For machine $1,$ product A is $$1,$ B is $$1\mathrm{.}20,$ and C is $$0\mathrm{.}80.$ For machine $2,$ product A is $$1\mathrm{.}60,$ B is $$1\mathrm{.}40,$ and C is $$1\mathrm{.}10.$ For machine $3,$ product A is $$1\mathrm{.}10,$ B is $$1,$ and C is $$1\mathrm{.}20.$

Use transportation model to develop a minimum cost production schedule for the products and machines. Then use LINDO$/$LINGO to solve it and find the optimal solution.

The optimal units of product A on machine $1$ is:

The optimal units of product A on machine $2$ is:

The optimal units of product A on machine $3$ is:

The optimal units of product B on machine $1$ is:

The optimal units of product B on machine $2$ is:

The optimal units of product B on machine $3$ is:

The optimal units of product C on machine $1$ is:

The optimal units of product C on machine $2$ is:

The optimal total cost is: $($Don$\text{'}$t write the $ sign in your answer! Write your answer as integers. For example, $500)$