Choose the correct statements regarding $C_4$ plants:
$(1)$ $C_4$ plants do not tolerate higher temperatures.
$(2)$ $C_4$ plants show a response to high light intensities.
$(3)$ $C_4$ plants lack a process called photorespiration.
$(4)$ Productivity of $C_4$ plants is less than $C_3$ plants.
$(5)$ $C_4$ acid $OAA$ is formed in the mesophyll cells.

• A
  $1, 4$
• B
  $1, 3, 5$
• C
  $2, 3, 5$
• D
  $3, 4, 5$