I need help understanding these problems. Please show work and formulas so that I can understand. Thank you!

LePage Co. expects to earn $2.50 per share during the current year, its expected dividend payout ratio is 65%, its expected constant dividend growth rate is 6.0%, and its common stock currently sells for $24.75 per share. New stock can be sold to the public at the current price, but a flotation cost of 9% would be incurred. What would be the cost of equity from new common stock?

You were hired as a consultant to Quigley Company, whose target capital structure is 40% debt, 10% preferred, and 50% common equity. The interest rate on new debt is 6.50%, the yield on the preferred is 7.50%, the cost of retained earnings is 13.25%, and the tax rate is 34%. The firm will not be issuing any new stock. What is Quigley's WACC?

Increased Efficiency, Inc. is looking for ways to shorten its cash conversion cycle. It has annual sales of $36,500,000, or $100,000 a day on a 365-day basis. The firm's cost of goods sold is 60% of sales. On average, the company has $9,000,000 in inventory and $8,000,000 in accounts receivable. Its CFO has proposed new policies that would result in a 20% reduction in both average inventories and accounts receivable. She also anticipates that these policies would reduce sales by 10%, while the payables deferral period would remain unchanged at 40 days. What effect would these policies have on the company's cash conversion cycle?

Steady Eddie Corp. is constructing its cash budget. Its budgeted monthly sales are $6,000, and they are constant from month to month. 40% of its customers pay in the first month and take the 2% discount, while the remaining 60% pay in the month following the sale and do not receive a discount. The firm has no bad debts. Purchases for next month's sales are constant at 50% of projected sales for the next month. "Other payments," which include wages, rent, and taxes, are 25% of sales for the current month. Construct a cash budget for a typical month and calculate the average net cash flow during the month.

Technology Corporation expects to order 126,000 memory chips for inventory during the coming year, and it will use this inventory at a constant rate.Fixed ordering costs are $250 per order; the purchase price per chip is $25; and the firm's inventory carrying costs is equal to 20 percent of the purchase price. (Assume a 360-day year.)What is the economic ordering quantity for chips?