Throughput costing help please

Jamaica Producers Enterprise Limited manufactures three products: X, Y and Z. Details for the products and resource requirements are as follows: Sales Material costs 2.50 3-60 Direct labour cost Machine time 0.60 0.40 Weekly demand Nate: machine times above are stated in minutes Machine time is a bottleneck resource and maximum capacity is 200 machine hours. Operating cost which includes direct labour costs are $6,000 per week. The direct labour costs are $10 per hour. Required: a. Determine the prot maximizing outputs and the maximum prot b. Calculate the TPAR at this prot maximizing output