Find the equation of the tangent line to the to we at the given point. 15xxy+y2 = 54 at [414} C: The equation of the tangent line ie E. [Type an equation. Type an exact answer.) A casino hotel manager has approximated demand for two-room suites to be p = 6000 - 54. where p is the price (in dollars) and q is the quantity demanded. Use dq implicit differentiation to find and interpret dp when q = 6. . . . .. Choose the correct answer below and fill in the answer box to complete your answer. O A. dq dq which means that if the price is increased by $1, the quantity demanded decreases by approximately dp dp suites. OB. dq dq which means that if the price is increased by $1, the quantity demanded increases by approximately suites. dp dpA night club has approximated the demand for their Thursday night drink special by p- + 300q- = 211, where p is the price (in dollars) and q is the quantity demanded (in thousands). Find and interpret - da when the price is $8 and the demand is 700 drinks. dp . . . . . dq When the price is $8 and the demand is 700 drinks dp (Round to three decimal places as needed.)