tutor help me to answer problem (a-c) and quiz (1-5) with complete solution

Problem: A company produces detergent soaps and bath soaps by Machines (3 and D. Machine C can make 50 kg detergent soaps and 60 kg of bath soaps in an hour. Machine D can make 30 kg of detergent soaps and 50 kg of bath soaps in an hour. The company has to produce at least 800 kg detergent soaps and at most 900 kg oi bath soaps per hour. Let x and y be the number of operating hours of Machines (3 and D. respectively. a. Write down all the censtraints about it and y. b. Represent the feasible solution graphically. c. If it costs P400 per hour to operate Machine C and P750 per hour to operate Machine D. how long should each machine be Operated to minimize the cost of operating the two machines? Quiz instructions: Answer the following problems and show your solution. Draw the figure if necessary. (5 pts each) 1. Mang Ben bought a new lot which measures 120 m2. The lot is 10 meters wide. If he wants to fence the lot with barb wire so that people will know that it is already bought, how many meters of wire does he need? 2. How many 100 square-inch tiles are needed if you want to tile your bedroom that is 12.7 ft wide and 23.2 ft ion 9? 3. A square lot has been divided among two people in the ratio 2:3. If the smaller portion of the lot is 50 square meters, what is the total area of the original lot? What is its length and width? Find the height of a triangle if it has an area of 55 sq. cm and a base of 10 cm. A tree trunk is to be cut into pieces of lumber of size 20 ft by 2 ft by 2 ft. Find the volume and surface area of each piece of lumber. 9"