$1.$ Your company is evaluating a switch from a cash$-$only policy to a net $30$ policy. This means instead of requiring all customers to pay cash at the time of sale, all customers are now

extended credit at zero interest $-$ by the store and must pay their bill within $30$ days. The expected benefit from this new policy is a $10\%$ increase in monthly sales.

Specifically, let the price per unit be denoted as $$P$$ and the variable cost per unit as $$V$.$ The company currently sells $1,000$ units per month. Under the proposed policy the company will sell $1,100$ units per month. The required monthly return is $2\%.$ What range of P $($as a function of V$),$ would make the company adopt the proposed policy?