Jessie Industries makes large waste storage bins and sells them for $$150$ each. The manufacturing cost of each bin is as follows:Direct material$$50$Direct labour$$42$Manufacturing overhead$$20$The manufacturing overhead is $80\%$ variable and $20\%$ fixed. The company receives an order for $1,000$ bins which will cost an additional $$10$ in shipping costs per bin. The company has sufficient excess capacity to produce the order.a$)$ What are the variable manufacturing overhead costs for each bin?b$)$ What is minimum price Jessie should charge for each bin?