Processor type a has 16 cores, uses 4 square centimeters, and costs 1000 dollars. Processor type b has 8 cores, uses 3 square centimeters, and costs 100 dollars. Processor type c has 4 cores, uses 2 square centimeters, and costs 10 dollars. Processor type d has 2 cores, uses 1 square centimeters, and costs 1 dollars. The core count must be greater than 49. Area must be less than 17. The cost is to be less than 2400.