Show all work of these word problems, a company has determined that the demand function for a dining room table is given by p=1200-1/2x ...

A company has determined that the demand mction for a dining room table is given by l p = 121]] x wherep is the price per table andx is the number oftables sold. The xed cost 2 of producing a line of dining room tables is $100,000 and each table costs $200 to make. Use this information to answer the next three questions. 64. 65. 66. 6?. Determine a simplied formula for the revenue function. (A) R(x)=1200%x (B) surpass):2 (C) R(x)=1200x_%x2 3 3 2 (D) R(x)=1200x (E) R(x)=l200xEx Determine the quantity that should be manufactured to maximize revenue. The quantity is: (A) Less than 950 tables (B) Between 950 and 1050 tables (C) Between 1050 and 1150 tables (D) Between 1150 and 1250 tables (B) More than 1250 tables (***) Determine the quantity that should be manufactured to maximize profit. The quantity is: (A) Less than 950 tables (B) Between 950 and 1050 tables (C) Between 1050 and 1150 tables (D) Between 1150 and 1250 tables (E) More than 1250 tables As part of a physics experiment, Ming drops a baseball from the top of a 350-foot tall building. The distance I}, in feet, that the ball travels is given by h=16r2, where t is measured in seconds. For how many seconds will the baseball fall? Round your answer to the nearest tenth of a second. (A) 1.2 sec (B) 4.? sec (C) 6.3 sec (D) 12.4 sec (E) 21.9 sec