Fill in the Blanks to the problem!

A gold processor has two sources of gold ore, source A and source B$.$ In order to keep his plant running, at least three tons of ore must be processed each day. Ore from source A costs $$20$ per ton to process, and ore from source B costs $$10$ per ton to process. Costs must be kept to less than $$80$ per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A$.$ If ore from source A yields $2$ oz$.$ of gold per ton, and ore from source B yields $3$ oz$.$ of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold extracted subject to the above constraints?Objective:

Maximize Output $=2A+3B$

Subject to:

$A+B$

A Minimum Daily

Production

A $A+$

A $B$

A Limit on Amount of Money

Available

A $,B$

A A Cannot process more than

Twice as Much B as A

$A,B$

A

Nonnegativity Constraints

Let A $=$ Number of Tons of Ore Processed each day from Source A

Let B $=$ Number of Tons of Ore Processed each day from Source B