please solve this

1. [Chapter 1: 10 points]. A company specializing in the production of shopping carts for supermarkets and various retail outlets has recently made a strategic investment in cutting-edge equipment designed to streamline its manufacturing process. This state-of-the-art machinery significantly reduces the labour hours required for crafting these shopping carts. Prior to acquiring this advanced equipment, the company utilized a workforce of four employees, who collectively manufactured an average of 320 shopping carts per day. At that time, labour costs were estimated at $20 per hour, while machine operating costs amounted to $40 per hour. This productive setup operated within an cight-hour shift per day. With the integration of this new equipment, the company was able to optimize its operations, Consequently, one of the workers was redeployed to a different department, allowing for more efficient resource allocation. However, this transition came with an increase in machine operating costs, which rose by $15 per hour. On the plus side, the enhanced machinery also led to a notable 10s increase in output. a. Calculate the total cost of labour per day before and after the new equipment is installed. Calculate the total cost of the machine per day before and after the new equipment. (2) b. Calculate labour productivity before and afler the new equipment. Use carts per labour- hour as the measure of labour productivity. (2) c. Calculate the multifactor productivity before and after the new equipment. Use carts per dollar cost (labour plus machine) as the measure of multifactor productivity. (2) d. Calculate the pereentage changes in labour productivity and multifactor productivity, (2) e. Management's expectation for the firm is a multifactor productivity increase of 15% once the new equipment is installed. Based on your answer to question (1.d), did the firm reach this goal? If it did not, by what perentage must output (carts per day) be increased to achieve a 15% improvement in multifactor productivity (relative to before the new equipment is installed)? (2)