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Question Number 50519 by Tawa1 last updated on 17/Dec/18

Answered by afachri last updated on 17/Dec/18

Commented by afachri last updated on 17/Dec/18

$$\mathrm{the}\mathrm{satisfied}\mathrm{region}\mathrm{of}\mathrm{inequation}\mathrm{is}\mathrm{the}$$$$\mathrm{white}\mathrm{one}.$$$$\mathrm{Blue}\mathrm{line}\Rightarrow x+y⩽24$$$$\mathrm{Red}\mathrm{line}\Rightarrow 50x+40y⩽1050$$$$\mathrm{Purple}\mathrm{line}\Rightarrow x⩾0$$$$\mathrm{Black}\mathrm{line}\Rightarrow y⩾0$$

Answered by afachri last updated on 17/Dec/18

$$\mathbf{let}:$$$$\mathrm{a}\mathrm{bottle}\mathrm{of}\mathrm{cola}:x$$$$\mathrm{a}\mathrm{bottle}\mathrm{of}\mathrm{lemonade}:y$$$$$$$$50x+40y⩽1050$$$$x+y⩽24$$$$x⩾0;y⩾0$$$$$$

Answered by afachri last updated on 17/Dec/18

$$\mathrm{Profit}\mathrm{Function}$$$$\mathbf{Z}=10x+5y$$$$(0,24)\Rightarrow \mathbf{Z}=10\left(0\right)+5\left(24\right)$$$$=\mathrm{N}120$$$$(9,15)\Rightarrow \mathbf{Z}=10\left(9\right)+5\left(15\right)$$$$=90+75$$$$=\mathrm{N}165$$$$(21,0)\Rightarrow \mathbf{Z}=10\left(21\right)+5\left(0\right)$$$$=\mathrm{N}210$$$$\mathbf{conclusion}:\mathrm{the}\mathrm{woman}\mathrm{should}\mathrm{buy}21\mathrm{bottles}$$$$\mathrm{of}\mathrm{Cola}\mathrm{to}\mathrm{earn}\mathrm{maximum}\mathrm{profit}.$$

Commented by Tawa1 last updated on 19/Dec/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

Commented by afachri last updated on 19/Dec/18

$$\mathrm{Ur}\mathrm{welcome}..$$

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