Hello, this is Bing! I$\text{'}$m the new AI$-$powered chat mode of Microsoft Bing that can help you quickly get information about $**.$ A manager wants to know how many units of each product to produce on a daily basis to achieve the highest profit. Production requirements for the products are shown in the following table. Final PDF to printer ste$3889$X$\_$ch$19\_824-857.$indd $85211/29/1909$:$34$ AM $852$ Chapter Nineteen Linear Programming Product Material $1($pounds$)$ Material $2($pounds$)$ Labor $($hours$)$ A $233\mathrm{.}2$ B $151\mathrm{.}5$ C $62\mathrm{.}0$ Material $1$ costs $$5$ a pound, material $2$ costs $$4$ a pound, and labor costs $$10$ an hour. Product A sells for $$80$ a unit, product B sells for $$90$ a unit, and product C sells for $$70$ a unit. Available resources each day are $200$ pounds of material $1$; $300$ pounds of material $2$; and $150$ hours of labor. The manager must satisfy certain output requirements: The output of product A should not be more than one$-$third of the total number of units produced; the ratio of units of product A to units of product B should be $3$ to $2$; and there is a standing order for $5$ units of product A each day. Formulate a linear programming model for this problem, and then solve. $14.$ A chocolate maker has contracted to operate a small candy counter in a fash$**.$