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Use the following problem statement to answer questions 4-6. A coffee shop blends coffee on the premises for its customers. It sells the following three basic blends: Special, Dark, and Regular. To produce the blends, the shop must use four different types of coffee: Brazilian, mocha, Colombian, and mild. The shop has the following bland recipe requirements: Special blend: At least 30% Mocha should be included. Dark blend: At least 45% Brazilian should be included. No more than 10% mild should be included. Regular blend: No more than 39% mild should be included. The shop has 110 pounds of Brazilian coffee, 70 pounds of mocha, 80 pounds of Colombian, and 150 pounds of mild coffee available per week. The shop sells the special blend for $4.30 per pound, the dark blend for $7.20 per pound, and the regular blend for $4.10 per pound. Moreover, the cost of Brazilian coffee is $2.00 per pound, the cost of mocha is $2.75 per pound, the cost of Colombian is $2.90 per pound, and the cost of mild is $1.70 per pound. The shop wants to know the amount of each blend it should prepare each week to maximize profit. [Note: Xij = lbs. of coffee i used in blend j per week, where i = 1 (Brazilian), 2 (Mocha), 3 (Colombian), 4 (mild) and products j = s (special), d (dark), r (regular).] [T/F] The objective function for the model is Max Z = 4.30(X1s + X2s + X3s + X4s) +7.20(X1d + X2d + X3d + X4d) + 4.10(X1r + X2r + X3r + X4r) -2.0(X1s + X1d + X1r) - 2.75(X2s + X2d + X2r) - 2.9(X3s + X3d + X3r) - 1.7(X4s + X4d + X4r). O True O False Question 5 8 pts [T/F] One of the constraints for the model is X1s + X1d + X1r s 110. O True O False Question 6 8 pts [T/F] One of the constraints for the model is X3s 0.4(X1s + X2s + X3s + X4s). O True O False