trying to solve this problem

A baseball bat company makes two models, the slugger and the whacker. Each slugger requires four minutes of lathework, and one minute of varnishing. Each whacker requires five minutes of lathework and 45 seconds of varnishing. Each day, the combined production cannot exceed 980 bats. The woodworking shop operates 16 hours/day, with one room containing five lathes, and one varnishing room. Each of the five lathes is available for 55 minutes each hour, and the varnishing room is available for 50 minutes each hour. Each slugger contributes $5 to profit, and each whacker contributes $6. The company wishes to determine how many sluggers and whackers should be made each day