Powercat Sporting Equipment, Inc. makes two types of balls: Soccer balls and Cork balls. The making of each soccer ball and cork ball requires 3 hours and 4 hours of production time, respectively. A total of 500 production hours are available during the next month At least 150 balls, combined, must be produced. The production cost for each Soccer ball is $9 and each Cork ball is $7. Formulate and solve a linear programming model minimizing production costs and answer questions 5, 6, and 7:If one more hour is available for production, what does the minimized total cost change