Transportation Problem $(3)$

A large retail sporting$-$goods chain desires to purchase $300,200,150,500,$ and $400$ tennis racquets of five different types. Inquiries are received from four manufacturers who will supply not more than the following combines quantities of racquets. M$1$: $600$; M$2$: $500$; M$3$: $300$; M$4$: $400$ The store estimates that its profit per racquet will vary with the manufacturer as shown below:

R$1$ R$2$ R$3$ R$4$ R$5$

M$15\mathrm{.}57\mathrm{.}08\mathrm{.}54\mathrm{.}53\mathrm{.}0$

M$26\mathrm{.}06\mathrm{.}59\mathrm{.}03\mathrm{.}52\mathrm{.}0$

M$35\mathrm{.}07\mathrm{.}09\mathrm{.}54\mathrm{.}02\mathrm{.}5$

M$46\mathrm{.}55\mathrm{.}58\mathrm{.}05\mathrm{.}03\mathrm{.}5$

Define the Decision Variables and solve it using solver $(2)$

Interpret and explain the non$-$zero shadow prices associated with the variables $(1)$