Solve the below problem:
Q: A company incurred the following monthly utility costs last year : In January , 11,000 pounds of the product produced, at a cost of $5,500 In February, 9,000 pouds of the product produced, at a cost of 4,500 In March, 8,000 pound of the product produced, at a cost of 4,300 In April, 10,000 pounds of the product produced, at a cost of 5,000 In May, 13,000 pounds of the product produced, at a cost of 6,500 In June, 14,000 pounds of the product produced, at a cost of 7,200 In July, 7,000 pounds of the product produced, at a cost of 3,500 In August, 6,000 pounds of the product produced, at a cost of 3,200 In September, 5,000 pounds of the product produced, at a cost of 3,400 In October, 4,000 pound of the product produced, at a cost of 2,400 In November, 8,000 pounds of the product produced, at a cost of 4,200 In December, 10,000 Pouds of the prduct produced, at a cost of 4,900
a- Use the hig-low method to estimate the company's utilities cost behavior and state the cost formula.
b- Predict the utilities cost for a month in which 12,000 pounds of the product were produced.