Schimpf Industries Incorporated has developed a new grinder, model WC$-13,$ that is designed to offer superior performance to a comparable grinder sold by Schimpf's main competitor. The competing grinder sells for $$80,000$ and needs to be replaced after $9,700$ hours of use. It also requires $$19,400$ of preventive maintenance during its useful life. Model WC$-13\text{'}$s performance capabilities are similar to the competing product with two important exceptions$-$it needs to be replaced only after $38,800$ hours of use and it requires $$48,500$ of preventive maintenance during its useful life. From a value$-$based pricing standpoint what range of possible prices should Schimpf consider when setting a price for model WC$-13?$

Multiple Choice

$$269,100$ Value$-$based price $$$$349,100$

$$80,000$ Value$-$based price $$$$320,000$

$$80,000$ Value$-$based price $$$$349,100$

$$269,100$ Value$-$based price $$$$320,000$