Sky Ltd$.$ has two products, Cloud and Wind. To produce one unit of Cloud, $2$ units of material X and $4$ units of material Y are required. To produce one unit of Wind, $3$ units of material X and $2$ units of material Y are required. As the raw material X is in short supply so not more than $16$ units of material X can be used. At Least $16$ units of material Y must be used in order to meet the committed sales of Cloud and Wind. Cost per unit of material X and material Y are Rs$.2\mathrm{.}50$ and Rs$.0\mathrm{.}25$ respectively. The selling price per unit of cloud and wind are Rs$.12$ and Rs$.16$ respectively. Given xx be the units of cloud produced and yy be the units of wind produced select the correct options

The objective function is

maxZ$=6$x$+8$ymaxZ$=6$x$+8$y

subject to constraints

$2$x$+3$y$164$x$+2$y$16$x$,$y$02$x$+3$y$164$x$+2$y$16$x$,$y$0$

The maximum Profit $=48$ Rs$.$

The objective function is

maxZ$=12$x$+16$ymaxZ$=12$x$+16$y

subject to constraints

$2$x$+3$y$164$x$+2$y$16$x$,$y$02$x$+3$y$164$x$+2$y$16$x$,$y$0$

The maximum Profit $=44$ Rs$.$