Please send in 15 min , I'll give upvote for sure.give the answer according to the question. Fast plz do all the 3 parts

A grocery shop gives offer to the customers for specific products purchased. The products considered for giving offer are bar chocolate, cookie, bun and cake. While billing, first the bar chocolates are billed, next cookies, then buns and finally cakes are billed. The offer will be given to customers if the number of bar chocolates billed is equivalent to the number of cakes and the number of cookies is twice the number of buns. The customers can purchase in many ways subject to the above restrictions. For example: 3 bar chocolates, 2 cookies, 1 bun and 3 cakes 2 bar chocolates, 6 cookies, 3 buns and 2 cakes', etc., are some purchase patterns where the customer is eligible to get offer. Express 'all the purchase patterns where the customer is eligible to get offer' as a language L. (2 marks) Design a Pushdown Automaton [PDA] M that will recognise language L. (6 marks) Justify that the PDAM designed accepts the purchase pattern defined in L. (2 marks)