Show me the steps and final solutions for this problem please:

A$.$ Find the optimal solution for the above optimization problem. Specifically, please

indicate which social media you should choose and the total amount spent $(10$

points$).$ What is the maximum number of consumers reached $(5$ points$)?$

Hint: Use binary constraints on the solutions.

B$.$ How would your answer change if you could allocate the same $$49,000$ total

budget anyway you want across the four weeks $($i$.$e$.,$ if you could shift money

across weeks$)?(5$ points$)$

C Use R to solve the above optimization problem. Please find the optimal solutions

for the LP program in B$.$ Make sure to provide your R script and the solutions.

Hint: Include $$all$.$bin $=$ TRUE$$ in the lp function as an option to enforce

binary constraints $(15$ points$).$