a manufacturer of lawn$$ mowers, predicts that it will purchase $252,000$ spark plugs next year. Ever Lawn estimates that $21,000$ spark plugs will be required each month. A supplier quotes a price of $$8\mathrm{.}00$ per spark plug. The supplier also offers a special discount$$ option: If all $252,000$ spark plugs are purchased at the start of the$$ year, a discount of $4\%$ off the $$8\mathrm{.}00$ price will be given. Ever Lawn can invest its cash at $10\%$ per year. It costs Ever Lawn $$200$ to place each purchase order.