Astro Turf is a mature company. Its latest innovation was thermoplastic granules used in the production of running shoes and rain boots. A few year ago Astro Turf entered the Chinese market with its products. The CEO asked you to prepare an analysis of last years results based on the following budgeted and actual data. Actual sales prices and costs were exactly as budgeted, but actual profits were almost $160 million less than what was originally budgeted. Astro Turf Unit sales for Chinese Market (tons) 2019 2020 Budget-running shoes 450,000 475,800 Budget - rain boots 960,000 1,055,000 Total 1,410,000 1,530,800 Unit sales for Chinese Market (tons) 2019 2020 Actual-running shoes 425,200 490,200 Actual - rain boots 976,000 910,700 Total 1,401,200 1,400,900 Production for Chinese market Running Shoes Rain Boots Units needed for production (tons) Budget - 2011 1,250,800 3,476,000 Budget - 2010 1,850,000 3,200,000 Actual - 2011 1,422,400 3,210,000 Actual - 2010 1,500,000 3,000,000 Budgeted 2011 - data for Astro Turf Running Shoes Rain Boots Sales price (per ton) $2,900 $3,710 Variable cost (per ton) $1,895 $2,400 REQUIRED: a) Compute the 2020 market-share variance and the 2020 market size variance for Astro Turf. (4 Marks) b) Compute the sales-quantity variance and show that it matches the sum of the market-share variance and the market size variance. (4 Marks) c) Explain why actual profit for Astro Turf was less than budgeted profit. Also explain the effects of the changes in the markets for running shoes and rain boots. (4 Marks)