I need help with the following questions. Please provide steps of calculations and final answers

A sausage factory can produce European wieners at a rate of 510 kg per day. It supplies wieners to local stores and restaurants at a steady rate of 90 kg per day. The cost to prepare the equipment for producing European wieners is $16. Annual holding cost is $2 per kg of wieners. The factory operates 290 days a year. (Round the final answers to the nearest whole number.)

a. Calculate the optimal production run quantity. (Do not round intermediate calculations.)

b. Calculate the number of productions runs per year.

c. Calculate the length (in days) of a production run.