Supply and demand for a product are both a linear function of price. suppose that if a price of $8 is charged, 8 units will be demanded; that if a price of $5 is charged, 20 units will be demanded; that if a price of $3 is charged, 38 units will be supplied; and that if a price of $1 is charged, 26 units will be supplied. for what price will supply equal demand?

Hank itzek manufactures and sells homemade wine, and he wants to develop a standard cost per gallon. the following are required for production of a 70-gallon batch. 2,700 ounces of grape concentrate at $0.04 per ounce 77 pounds of granulated sugar at $0.43 per pound 133 lemons at $0.79 each 350 yeast tablets at $0.24 each 350 nutrient tablets at $0.14 each 2,500 ounces of water at $0.001 per ounce hank estimates that 4% of the grape concentrate is wasted, 9% of the sugar is lost, and 32% of the lemons cannot be used. compute the standard cost of the ingredients for one gallon of wine. (round intermediate calculations and final answer to 2 decimal places, e.g.