A juice shop owner asks his fruit vendor to pack Guava, Mango, Watermelon and Chiku fruits into baskets:

After packing the baskets will be sent to different branches.

The fruits are to be packed in the following count.

i$.$ For every Watermelon, there should be three Mangoes.

ii$.$ For every two Guavas there should be one Chiku $.$

The vendor should pack each basket in the above$-$said ratio and should ensure that the fruits are armanged in

the basket in such a way that the fruits won't get smashed.

a$.$ Express "the packing pattern where the vendor can arrange the fruits" as a language L$.(2$ marks$)$

b$.$ Design a Turing Machine $M$ that will recognize language L$.(6$ marks $)$

c$.$ Verify the Turing Machine M$,$ for valid and invalid fruit packing patterns defined ia L$.(2$ marks$)$

Note: Watermelon is a heavy fruit so it has to be placed in the bottom Over that Giava should be kept $,$then

Mangoes should be kept, and over the Mangoes, chiku should be arranged. The bottom to top arrangement

of fruits should be viewed as a left to right arrangement for the construction of Turing machine

give detailed answer $.$