Mike has one hour to spend at the gym where he will jog, play handball and cycle. jogging uses 10 calories per minute, handball uses 9 calories per minute and cycling uses 12 calories per minute. mike jogs as long as he cycles. how long should mike participate in each of these activities in order to use 580 calories? find the number of minutes needed for playing handball.

Owns a machine that can produce two specialized products. production time for product tlx is two units per hour and for product mtv is four units per hour. the machine’s capacity is 2,100 hours per year. both products are sold to a single customer who has agreed to buy all of the company’s output up to a maximum of 3,570 units of product tlx and 1,610 units of product mtv. selling prices and variable costs per unit to produce the products follow. product tlx product mtv selling price per unit $ 11.50 $ 6.90 variable costs per unit 3.45 4.14 determine the company's most profitable sales mix and the contribution margin that results from that sales mix.