3. Consider the unconstrained geometric program 1 minter +2 + + 3t t subject to t> 0. (a) Write down the dual geometric program. (b) Reduce the dual program to a 1-parameter optimization problem of the form max- imize f(s) for s in some open interval, as in example (2.5.5)(c) in the textbook. Don't solve that optimization problem. (c) Assuming that the optimal dual solution is 8 t in the primal program. 15, 15, ), find the optimal value of 3. Consider the unconstrained geometric program 1 minter +2 + + 3t t subject to t> 0. (a) Write down the dual geometric program. (b) Reduce the dual program to a 1-parameter optimization problem of the form max- imize f(s) for s in some open interval, as in example (2.5.5)(c) in the textbook. Don't solve that optimization problem. (c) Assuming that the optimal dual solution is 8 t in the primal program. 15, 15, ), find the optimal value of