A toy factory creates miniature steel train engines and box cars. The fabrication department has 3,679 minutes available per week and the assembly and finishing department has 3,099 minutes available per week. Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 5 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 4 minutes of fabrication and 5 minutes of assembling and finishing. The profit on each miniature steel train engine is $8.00 and the profit on each miniature steel box car is $7.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P = subject to < 3, 679 < 3, 099 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys to 1 decimal place and profit to 2 decimal places. Number of miniature steel box cars to manufacture to maximize profit is Number of miniature steel train engines to manufacture to maximize profit is Maximum profit is $

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Janus owns a small bakery that specilaize in 3 layer cakes dcorated with roses.He employs marcisa and annie.Each month janus wants to make $4000 and he would pay his two employees $3000 each.the fixed cost of rent etc.is $5400/month.They sell the cakes for $50 each and the cost of making each cake is $15. Recall that profit is revenue-cost.Revenue is selling prices times items made.and cost is fixed cost plus the cost of each item times the number of items