Oliver is catering a dinner party for more than 22 guests. Each guest has a choice between a
vegetarian dinner or a steak dinner. The vegetarian dinner is $20 per plate and the steak dinner is $30
per plate. Oliver can spend no more than $610 on the entire party. If Oliver wants to purchase the
most amount of food and still stay within budget, which combination of vegetarian and steak dinners is
optimal?