The daily output at a plant manufacturing clocks is approximated by the function f(L, K)=40K2/5 L9/10 clocks where Lis the size of the labor force measured in hundreds of worker- hours and K is the daily capital investment in thousands of dollars. If the plant manager has a daily budget of $19,000 and the average wage of an employee is $8.50 per hour, what combination of worker-hours (to the nearest hundred) and capital expenditures (to the nearest thousand) will yield maximum daily production? a) 200 worker-hours and $17,000 in capital expenditures b) 700 worker-hours and $13,000 in capital expenditures 1300 worker-hours and $5,000 in capital expenditures d) 400 worker-hours and $14,000 in capital expenditures 1500 worker-hours and $6,000 in capital expenditures f) 300 worker-hours and $16,000 in capital expenditures