The CCCC wishes to develop its initial product planning design as it takes advantage of new legalization laws in Canada and the US for cannabis products. It expects to expand and modify their cannabis distribution in the future, but they wish to maximize their profitability initially prior to the new market hitting equilibrium.

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CCCC has $5$ production facilities$/$farms $($Code named F$1$ through F$5)$ where raw cannabis is grown.$$ The Farms$($Fx$)$ cannabis attributes include the maximum crop available $($lbs$),$ the per lb$.$ growing cost, the THC measure per lb$.,$ and the CBD measure per lb$.$ As a policy, the minimum amount of cannabis that can be used from each Farm is $60\%$ of the maximum.$$ And don$$t forget to model the maximum as well. Data is shown below.

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CCCC will take cannabis from the five farms and blend them together to make three products $$ PAIN, RELAX and FOCUS.$$ Each product has a different sales price $($per lb$.)37$ units per pound for PAIN, $32$ units per pound for RELAX, and $41$ units per pound for FOCUS.$$

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Each product has different requirements in terms of the weighted average value of THC and CBD$.$

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PAIN:$$ THC levels must average less than or equal to $11\mathrm{.}2.$

RELAX: THC levels must average greater than or equal to $12\mathrm{.}5$

FOCUS:$$ THC levels must average less than or equal to $10\mathrm{.}1$

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CBD: All three products must INDIVIDUALLY average at least $8\mathrm{.}7.$

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PAIN $-$ an individual farm cannot provide more than $30\%$ of the total cannabis used in PAIN.$$

RELAX $-$ an individual farm cannot provide more than $32\mathrm{.}5\%$ of the total cannabis used in RELAX.

FOCUS $-$ does not have any composition requirements.

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Finally, you cannot make more than $1000$ lbs$.$ of any one product. $$CCCC wishes to determine how to optimally design the production of its $3$ products using the cannabis grown at its $5$ farms. $$The goal of your model is to maximize sales less costs.$$

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At the very end, when your model is working well, save the solution without integers and then force the variables to be integers.$$If it takes longer than $3$ minutes, kill and save that solution. Summarize your solution so I can understand it clearly $$ doesn$$t have to be complicated. $$

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This is version $1$ of the problem. I reserve the right to alter if errors are uncovered!