Show me the steps to solve this problem and include all solutions$/$Rscripts necessary please:

You created a small apparel retail business. You decide to run regular marketing

campaigns on social media channels, and you are considering $4$ social media marketing

campaigns on Facebook, Instagram, Pinterest, and TikTok for the four weeks prior to the

holiday season in December. However, you face a limited marketing budget and cannot

run all the four proposed campaigns. The following table describes the weekly cost $($in

$1,000$s$)$ and the expected numbers of consumers each campaign will reach $($$$1,000$s$).$

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

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$).$